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N°<strong>113</strong><br />

LIGHT AND APPLICATIONS I EOS & SFO JOINT ISSUE<br />

EXPERIMENT<br />

LABWORK<br />

BACK TO BASICS<br />

BUYER'S GUIDE<br />

SPP imaging<br />

Quantum entanglement<br />

Optical helicity<br />

Nanopositioner<br />

FOCUS ON<br />

OPTICAL<br />

FREQUENCY COMBS<br />

• Interferometry with optical frequency combs<br />

• Optical frequency combs for atomic clocks and<br />

continental frequency dissemination<br />

• Kerr frequency combs: a million ways to fit light<br />

pulses into tiny rings<br />

France/EU : 19 € Rest of the World : 25 €


Editorial<br />

<strong>Photoniques</strong> is published<br />

by the French Physical Society.<br />

La Société Française de Physique<br />

est une association loi 1901<br />

reconnue d’utilité publique par<br />

décret du 15 janvier 1881<br />

et déclarée en préfecture de Paris.<br />

https://www.sfpnet.fr/<br />

33 rue Croulebarbe,<br />

75013 Paris, France<br />

Tel.: +33(0)1 44 08 67 10<br />

CPPAP : 0124 W 93286<br />

ISSN : 1629-4475, e-ISSN : 2269-8418<br />

www.photoniques.com<br />

The contents of <strong>Photoniques</strong><br />

are elaborated under<br />

the scientific supervision<br />

of the French Optical Society.<br />

2 avenue Augustin Fresnel<br />

91127 Palaiseau Cedex, France<br />

Florence HADDOUCHE<br />

Secretary General Générale of the SFO<br />

florence.haddouche@institutoptique.fr<br />

Publishing Director<br />

Jean-Paul Duraud, General Secretary<br />

of the French Physical Society<br />

Editorial Staff<br />

Editor-in-Chief<br />

Nicolas Bonod<br />

nicolas.bonod@edpsciences.org<br />

Journal Manager<br />

Florence Anglézio<br />

florence.anglezio@edpsciences.org<br />

Editorial secretariat and layout<br />

Agence la Chamade<br />

https://agencelachamade.com/<br />

Editorial board<br />

Pierre Baudoz (Observatoire de Paris),<br />

Marie-Begoña Lebrun - (Phasics),<br />

Benoît Cluzel - (Université de Bourgogne),<br />

Émilie Colin (Lumibird), Sara Ducci<br />

(Université de Paris), Céline Fiorini-<br />

Debuisschert (CEA), Riad Haidar (Onera),<br />

Patrice Le Boudec (IDIL Fibres Optiques),<br />

Christian Merry (Laser Components),<br />

François Piuzzi (Société Française de<br />

Physique), Marie-Claire Schanne-Klein<br />

(École polytechnique), Christophe<br />

Simon-Boisson (Thales LAS France),<br />

Ivan Testart (Photonics France).<br />

Advertising<br />

Annie Keller<br />

Cell phone: +33 (0)6 74 89 11 47<br />

Phone/Fax: +33 (0)1 69 28 33 69<br />

annie.keller@edpsciences.org<br />

International Advertising<br />

Bernadette Dufour<br />

Cell phone + 33 7 87 57 07 59<br />

bernadette.dufour@edpsciences.org<br />

<strong>Photoniques</strong> is hosted and distributed by<br />

EDP Sciences,<br />

17 avenue du Hoggar,<br />

P.A. de Courtaboeuf,<br />

91944 Les Ulis Cedex A, France<br />

Tel.: +33 (0)1 69 18 75 75<br />

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Subscriptions<br />

subscribers@edpsciences.org<br />

Printer<br />

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52000 Chaumont<br />

Dépôt légal : May 2022<br />

Routage STAMP (95)<br />

Certifié PEFC<br />

pefc-france.org<br />

Photonics, a Science of Precision<br />

and Accuracy<br />

The history of science teaches<br />

us how numerous scientific<br />

breakthroughs were achieved<br />

by increased precision and accuracy.<br />

It also highlights how pushing forward<br />

the limits of precision and accuracy<br />

opens the way to novel research fields<br />

and applications.<br />

The story of optical frequency combs is<br />

the story of an optical spectroscopy method,<br />

which was developed to overcome<br />

the limits that were reached by conventional<br />

methods in atomic spectroscopy.<br />

This technique based on phase-locked<br />

lasers, initiated in the 1970's, turned out<br />

to be a major scientific breakthrough.<br />

Its importance was highlighted in 2005<br />

when the Nobel Prize in Physics was<br />

awarded to J. L. Hall and T. W. Hänsch<br />

"for their contributions to the development<br />

of laser-based precision spectroscopy,<br />

including the optical frequency<br />

comb technique". Articles of this special<br />

feature unveil the richness of this method<br />

and its huge potential for pushing<br />

forward measurement limits in terms<br />

of precision and accuracy. The fast development<br />

of this technology also benefited<br />

from the remarkable work of<br />

photonic companies, which managed<br />

to implement the most advanced lasers<br />

and optical techniques into ergonomic<br />

devices providing reliable and commercial<br />

sources of optical frequency combs.<br />

Another field associated with excellence<br />

and precision is that of optical glass,<br />

whose development revolutionized optics.<br />

2022 was declared on May 18th 2021<br />

a United Nations International Year of<br />

Glass, and the zoom of this issue is dedicated<br />

to this event. Optical glass has<br />

deeply broadened our horizons, from<br />

NICOLAS BONOD<br />

Editor-in-Chief<br />

the solar system and beyond with the<br />

development of telescopes, to the nano/<br />

micro world, in the solid state and in<br />

life sciences, with the constant progress<br />

achieved in optical microscopy. It has<br />

also brought communications to a new<br />

era by connecting billions of peoples<br />

with optical fibers. All these technologies<br />

have pushed the efficiency of<br />

optical glass to new standards with extremely<br />

precise polishing, structuring<br />

and transparency. The long and rich<br />

history of optical glass is far from being<br />

concluded since the soar of micro and<br />

nanotechnologies, a science of precision<br />

and accuracy, is spurring exciting<br />

and original concepts for tailoring light<br />

propagation through meta-optics.<br />

This international issue inaugurates the<br />

publication of the section "Lab work" devoted<br />

to original optical set-ups aimed<br />

at learning optics and photonics though<br />

experiments. And what better topic than<br />

the emblematic experiment on the violation<br />

of Bell's inequalities to inaugurate<br />

this section? The authors explain how<br />

the EPR paradox, long considered a<br />

“Gedankenexperiment”, has now become<br />

a very exciting lab work in order to<br />

introduce quantum concepts and related<br />

technologies to students.<br />

The preparation of this issue was<br />

marked by the invasion of Ukraine by<br />

Russia. The international scientific<br />

community has been deeply saddened<br />

by this attack on a sovereign country,<br />

which severely violates international<br />

laws. I warmly thank all the scientific<br />

societies that clearly and promptly<br />

condemned the invasion of Ukraine by<br />

Russia, and in particular our partners<br />

SFO, SFP, EOS and EDP Sciences.<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 01


Table of contents<br />

www.photoniques.com N° <strong>113</strong><br />

03 NEWS<br />

Highlights & news<br />

from our 8 partners!<br />

NEWS<br />

03 SFO forewords<br />

04 Partner news<br />

14 News from the Webb<br />

15 Crosswords<br />

16 Research news<br />

ZOOM: INTERNATIONAL YEAR OF GLASS<br />

20 Optical glass: an interplay<br />

of challenges and success<br />

LABWORK<br />

26 Quantum entanglement in the lab<br />

PIONEERING EXPERIMENT<br />

32 Surface plasmon propagation imaging<br />

48<br />

Kerr frequency combs:<br />

a million ways to fit light<br />

pulses into tiny rings<br />

60<br />

How to select<br />

a nanopositioner<br />

solution?<br />

FOCUS<br />

Optical frequency combs<br />

38 Interferometry with optical frequency combs<br />

43 Optical frequency combs for atomic clocks<br />

and continental frequency dissemination<br />

48 Kerr frequency combs: a million ways to fit<br />

light pulses into tiny rings<br />

BACK TO BASICS<br />

54 The optical helicity in a more algebraic<br />

approach to electromagnetism<br />

BUYER’S GUIDE<br />

60 How to select a nanopositioner solution?<br />

PRODUCTS<br />

65 New products in optics and photonics<br />

Advertisers<br />

Accumold ............................................ 39<br />

Aerotech .............................................. 15<br />

APE ........................................................ 23<br />

Comsol ................................................. 13<br />

Eksma Optics ..................................... 29<br />

EPIC ....................................................... 11<br />

Go Edmund ................................. IV e cov<br />

Greenfield Technology .................... 21<br />

HEF Photonics .................................... 55<br />

Imagine Optic ..................................... 27<br />

Intermodulation Products ..............53<br />

IX Blue ...................................................59<br />

Laser Components ........................... 35<br />

Le Verre Fluoré ................................... 25<br />

Lumibird .............................................. 57<br />

Menlo Systems ................................... 37<br />

MKS ................................................ II e cov<br />

Opton Laser ........................................ 63<br />

Pro-lite ................................................. 61<br />

Santec .................................................. 31<br />

Sedi Ati ................................................. 17<br />

Spectrogon ......................................... 41<br />

Spectros ............................................... 16<br />

Sutter .................................................... 47<br />

Tiama.................................................... 19<br />

Toptica ................................................. 49<br />

Trioptics ............................................... 33<br />

Wavetel ......................................... 43, 45<br />

Yokogawa ............................................ 51<br />

Image copyright (cover): ©Nathalie Picqué.<br />

Figure reproduced from Nature Photonics<br />

volume 15, pages 890–894 (2021) under a<br />

Creative Commons Attribution 4.0 International<br />

License. https://www.nature.com/articles/<br />

s41566-021-00892-x


SFO forewords<br />

ARIEL LEVENSON<br />

President of the French Optical Society<br />

“Morally as well as physically, the first of human<br />

rights is the right to light.”<br />

“Au moral comme au physique, le premier des droits<br />

de l’homme, est le droit à la lumière”<br />

Proses philosophiques, Victor Hugo<br />

The United Nations International Year of Light in<br />

2015 was a global success in celebrating the many<br />

ways that light impacts society. The desire to ensure<br />

its legacy led UNESCO to proclaim a permanent<br />

annual International Day of Light, and this<br />

coming edition in 2022 will also be an occasion to<br />

remember our dear friend and colleague Costel<br />

Subran who passed away in January. Costel was<br />

a passionate organizer of International Day of<br />

Light activities in France, and as he would say,<br />

Light must go on!<br />

Among the many International Day of Light<br />

events in France, I wish to highlight the development<br />

of laser teaching kits by the SFO Education<br />

Commission intended for outreach, especially<br />

at secondary schools. These will be freely distributed<br />

to accompany dissemination projects,<br />

and please contact the Education Commission<br />

for details. Let the light penetrate everywhere!<br />

And...Let the sunshine in! From 4-8 July, the<br />

SFO Congress will take place in the Côte d'Azur.<br />

OPTIQUE Nice 2022 will bridge the academic<br />

and industrial communities, with outstanding<br />

plenary speakers including: Alain Aspect, Sophie<br />

Brasselet, Rémi Carminati, Jean Dalibard,<br />

Frédérique de Fornel, Jérôme Faist, Philippe<br />

Goldner, Aurélie Jullien, Sophia Kazamias and<br />

Philip Russell. The congress also includes tutorials,<br />

SFO Club thematic sessions, and 50 industrial<br />

and pedagogical exhibition stands. In addition,<br />

to celebrate the International Day of Light several<br />

events are planned:<br />

• an exhibition of Low Cost Innovation in Optics<br />

organized by the SFO Optics and Physics without<br />

Borders Commission, targeted to help promote<br />

optics in countries and regions where access to<br />

science and technology can be difficult<br />

• a workshop on gender equality organized by<br />

the SFO Gender Equality Commission, which<br />

aims to develop realistic and efficient actions<br />

to address this important issue<br />

• a Scientibus hosted by the SFO Education<br />

Commission and the REOD Network, which<br />

will showcase a range of exciting experiments<br />

to school students<br />

2022 is also the International Year of Glass, and<br />

Glass and Light marry well in the SFO Club for<br />

Guided Optics (JNOG) that recently joined with<br />

the Optical Fibers and Networks Club to better<br />

combine the academic and industrial communities<br />

in a reinforced JNOG.<br />

In this <strong>Photoniques</strong> issue celebrating Bell's<br />

Inequality experiments, I would like to warmly<br />

congratulate our colleague Alain Aspect for his<br />

nomination as Honorary Member of OPTICA,<br />

a highly deserved and prestigious recognition.<br />

It is a pleasure to share this international edition<br />

of <strong>Photoniques</strong> with the European Optical<br />

Society, and I would like here to affirm SFO’s full<br />

support of EOS’s declaration against military intervention<br />

in Ukraine. Our thoughts go out to<br />

our Ukrainian colleagues and their families, and<br />

all whose safety has been jeopardized. They can<br />

be assured of our solidarity: нехай вони будуть<br />

впевнені в нашій солідарності. At the same<br />

time, we know that our many Russian colleagues<br />

are equally concerned, and we look forward to<br />

the time in the hopefully near future where international<br />

science can once again show the way<br />

towards peace.<br />

Photoniquement vôtre<br />

Ariel Levenson<br />

Directeur de recherche CNRS<br />

Président de la SFO<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 03


NEWS<br />

www.sfoptique.org<br />

The next Laser-Induced Breakdown<br />

Spectroscopy France Days,<br />

organized by the SFO LIBS Club<br />

will take place in Marseille on<br />

June 1 and 2, 2022 (France), on the<br />

Luminy campus of Aix-Marseille<br />

University. The LIBS 2022 Days<br />

will be a unique opportunity to<br />

bring together the entire chain<br />

of specialists in this increasingly<br />

developed instrumentation, from<br />

academics to manufacturers and<br />

instrumentation vendors.<br />

https://www.sfoptique.org/agenda<br />

THE SECOND WAVINAIRE:<br />

METASURFACES – JUNE 2022<br />

After the great success of the<br />

first edition, the SFO, the GDR<br />

Complexe and the GDR Ondes are<br />

pleased to announce the second<br />

Wavinaire – open questions which<br />

will be held on June.<br />

The wavinaires are intended for<br />

students, post-docs, engineers<br />

and researchers. This second<br />

edition is organized around an<br />

emblematic publication:<br />

"Light Propagation with Phase<br />

Discontinuities: Generalized Laws<br />

of Reflection and Refraction",<br />

N. Yu, P. Genevet, M. A. Kats,<br />

F. Aieta, J.-P. Tetienne, F. Capasso,<br />

and Z. Gaburro, Science 334,<br />

pp. 333-337 (2011)<br />

An introductory mini course on<br />

a basic concept necessary for<br />

understanding the article, as<br />

well as a brief presentation of its<br />

main results, given by a postdoctoral<br />

fellow, will be followed<br />

by a critical perspective vision<br />

proposed by two internationally<br />

recognized experts, Pierre Chavel<br />

from Institut d’Optique Graduate<br />

School and Bernard Kress<br />

Director, Optical Engineering<br />

- AR hardware - Google, who<br />

will discuss the industrial and<br />

academic impacts. The Wavinaire<br />

will end with questions and a<br />

free discussion.<br />

https://www.sfoptique.org/pages/<br />

sfo/wavinaire.html<br />

WELCOME TO OPTIQUE NICE 2022<br />

You are cordially invited to participate in<br />

the 9th Congress of the French Optical<br />

Society SFO, which will take place in Nice,<br />

France from July 4 to July 8. This congress<br />

provides fertile ground for beneficial exchanges<br />

between academic and industrial<br />

actors of optics and photonics.<br />

Plenary session : Alain Aspect, Sophie<br />

Brasselet, Jean Dalibard, Frédérique De<br />

Fornel, Rémi Carminati, Jérôme Faist,<br />

Philippe Goldner, Sophie Kazamias,<br />

Aurélie Jullien and Philip Russell.<br />

Tutorials sessions will introduce different<br />

hot topics: Thermal emission at the<br />

nanoscale by Jean-Jacques Greffet and<br />

Yannick De Wilde, Single spin detection by<br />

Vincent Jacques, Multiphoton microscopy<br />

by Emmanuel Beaurepaire, Earth-space<br />

telemetry by Clément Courde and we will<br />

even go to Mars with Supercam on the Rove<br />

Perseverance by Pernelle Bernardi.<br />

OPTIQUE Nice Prizes, to promote optics<br />

and photonics research<br />

To recognize excellence, the SFO<br />

awards two Scientific Prizes during<br />

this congress: Grand Prix SFO Léon<br />

Brillouin and the Young researcher<br />

Fabry-de Gramont prize. OPTIQUE<br />

SFO Congress welcomes for the second<br />

time the Jean Jerphagnon Prize, a prestigious<br />

award for outstanding scientific<br />

contributions with high potential industrial<br />

impact.<br />

Women in Optics and Physics commission,<br />

to promote parity in Optics<br />

The congress pays a special attention to<br />

the number of women working in optics,<br />

at all responsibility levels and tends to<br />

parity on invited conferences.<br />

PhD students and young researchers<br />

are welcome in OPTIQUE Nice<br />

Our goal is to allow all PhD students to<br />

participate once in the congress during<br />

their thesis. More than 200 students are<br />

expected. OPTIQUE Nice 2022 will provide<br />

a dedicated and friendly space to<br />

initiate a "Youth" action…<br />

Nice hosts the 9 th edition of SFO biennial<br />

congress<br />

The members of local organizing committee<br />

orchestrated by Sébastien Tanzilli<br />

do their utmost efforts to accommodate<br />

hundreds of participants in a friendly atmosphere.<br />

During our networking program<br />

you will get to know this exciting<br />

city in all its aspects.<br />

OPTIQUE Nice 2022 is an International Day of Light event<br />

https://www.sfoptique.org/<br />

2 ND COLLOQUIUM ON THE PHYSICS<br />

AND APPLICATIONS OF METASURFACES<br />

Fortezza da Basso, Florence, Italie, July 18-22, 2022<br />

This 2 nd colloquium is organized by the Nanophotonics Club of the French Optical Society (SFO)<br />

in collaboration with the Italian Society for Optics and Photonics (SIOF). The attendees will benefit<br />

from outstanding international keynote speakers, Andrea Alù (CUNY), Shanui Fan (Stanford<br />

University), Federico Capasso (Harvard University), Philippe Lalanne (CNRS Bordeaux), Anatoly<br />

Zayats (King's College London) will present the latest developments in all areas of Metasurfaces.<br />

https://www.sfoptique.org/pages/sfo/colloque-metasurface.html<br />

04 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


PARTNER NEWS<br />

www.institutoptique.fr<br />

NEWS<br />

Research in applied optics<br />

at IOGS together with industrial partners<br />

The Institute of Optics Graduate<br />

School (IOGS) has been strengthening<br />

its applied research<br />

activity with industrial partners, both<br />

French and foreign, for a few years now,<br />

notably with the creation in early 2019 of<br />

a dedicated Industrial Photonics team at<br />

the Charles Fabry Laboratory (LCF, CNRS<br />

Joint Research Unit 8501) in Palaiseau (Ile<br />

de France), headed by Yvan Sortais.<br />

Like any team of a laboratory under<br />

the supervision of the CNRS, this one<br />

does not aim at competing with private<br />

offices, nor to interfere in the competition<br />

between companies. It responds to<br />

requests from industrials which contain<br />

at least one original and innovative<br />

point in terms of research, which can<br />

be developed in the form of a patent or<br />

scientific communication, and when it<br />

is free to do so without interfering with<br />

the interests of another industrial with<br />

whom it is already working on a similar<br />

or related subject.<br />

IOGS intends to offer the industry a response<br />

adapted to its needs: services, collaboration,<br />

supervision of doctoral theses<br />

(with industrial funding in particular), and<br />

funding applications for shared projects.<br />

IOGS status as a higher education and<br />

research institution allows industrials to<br />

benefit from the Research Tax Credit.<br />

In all cases, whether or not the initial<br />

request from the industrial is ultimately<br />

translated into a contract, technical exchanges<br />

are governed by a confidentiality<br />

agreement signed by both parties. When<br />

it continues beyond the initial exchanges,<br />

the interaction can last from a few weeks<br />

for the shortest services, to several years<br />

for research projects such as a PhD thesis.<br />

The Industrial Photonics team deals in<br />

particular with requests related to the<br />

design, prototyping and metrology of<br />

optical systems, components or surfaces,<br />

in particular freeform optics, or optronic<br />

systems, for lighting or imaging. The studies<br />

concern many fields (defense, automotive,<br />

pharmaceutical, cosmetics, etc.).<br />

The Industrial Photonics team works<br />

closely with the French Freeform Optics<br />

Association (Freeform Optics - Research<br />

and Solutions), of which IOGS is a founding<br />

member (see Refs. [1,2]).<br />

It relies on the human and material resources<br />

of the LCF: computational resources,<br />

modeling (optical, mechanical,<br />

photometric, thermal, thin films, radiation,<br />

etc.), prototyping (precision optics, mechanics,<br />

electronics, 3D printing, etc.), and<br />

metrology (deformation and roughness of<br />

surfaces, transmission and spectral reflection,<br />

radiometric and photometric fluxes,<br />

color and visual appearance of materials).<br />

More generally, IOGS offers industry the<br />

expertise of the teams from the three<br />

laboratories it oversees with the CNRS:<br />

the LCF, the Laboratoire de Photonique<br />

Numérique et Nanophotonique (LP2N,<br />

UMR CNRS 5298) and the Laboratoire<br />

Hubert Curien (UMR CNRS 5516). IOGS'<br />

response to industrial requests is coordinated<br />

by the Innovation and Industrial<br />

Relations Department.<br />

Contact: dire@institutoptique.fr.<br />

REFERENCES<br />

[1] R. Geyl, F. Houbre, Y. Cornil, Th. Lépine and Y.<br />

Sortais, Optiques freeform : défis et perspectives,<br />

<strong>Photoniques</strong> 106, p. 17 (2021).<br />

[2] Y. Sortais, Th. Lépine, J.-J. Greffet, Des formes<br />

libres dans notre champ de vision, La Recherche<br />

568, p. 54 (2022).<br />

Yvan Sortais, Lab. Charles Fabry<br />

Email : yvan.sortais@institutoptique.fr<br />

An example of a partnership study<br />

between the LCF and industry : Design<br />

and implementation of benches for<br />

characterizing the optical properties<br />

of vials for the pharmaceutical industry<br />

(Credit: SGD Pharma)<br />

CONTACT FORMATION<br />

CONTINUE INSTITUT D’OPTIQUE<br />

GRADUATE SCHOOL:<br />

+33 1 64 53 32 36 - +33 1 64 53 32 15<br />

E-mail : fc@institutoptique.fr<br />

www. fc.institutoptique.fr<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 05


PARTNER NEWS<br />

NEWS<br />

www.pole-optitec.com<br />

AGENDA<br />

Vision Sttugart<br />

04. - 06. October 2022<br />

Meet us on french pavilion<br />

www.pole-optitec.com<br />

About OPTITEC<br />

OPTITEC's mission on the regional/national<br />

level is to foster and<br />

promote activities of the photonics<br />

and imaging sectors in the south<br />

of France and to strengthen the<br />

synergies between its stakeholders<br />

(research, higher education and<br />

industry sectors).<br />

European cluster<br />

At the European level, OPTITEC fosters<br />

the participation of its members<br />

in various EU research and development<br />

programs, notably in Horizon<br />

Europe. In order to enhance the<br />

visibility and competitiveness of its<br />

members it facilitates the interaction<br />

with the European partners.<br />

OPTITEC is a cluster dedicated to innovative<br />

technologies which harness<br />

light to generate, emit, detect,<br />

collect, transmit or amplify the flow<br />

of photons, from terahertz waves<br />

to X rays, applied to five industrial<br />

sectors on fast-growing markets : Security/defence<br />

& major scientific instruments,<br />

Health and life sciences,<br />

Industry 4.0, Smart mobility & cities<br />

and Digital agriculture.<br />

OPTITEC LAUNCHES PHASE 2<br />

OF ITS EUROPEAN PROJECT SUPPORTING<br />

EUROPEAN DUAL-USE SMES<br />

KETs4Dual-Use 2.0 project officially started on 16<br />

September 2021. The project builds on the outcomes<br />

of its predecessor EU KETs4Dual-Use, which<br />

was carried out as a Phase 1 project between September<br />

2018 and February 2020.<br />

The consortium of partners includes French clusters<br />

(pôles de compétitivité) OPTITEC, as the coordinator,<br />

Minalogic & SAFE and the defense and security related<br />

cluster CenSec (Denmark) as well as the Estonian<br />

Defence Industry Association (EDIA).<br />

The project intends to act as a “springboard” for<br />

European dual-use companies wishing to access international markets, with the<br />

aim of integrating sustainable long-term partnerships. The project will support<br />

European dual-use small and medium enterprises (SMEs) accessing markets in<br />

Canada, Singapore and the United Arab Emirates (UAE) and generating growth,<br />

notably through their participation in international missions.<br />

The main objective is to set up business collaboration and to stimulate demand for<br />

European start-ups & SMEs technologies and services in target countries to gain<br />

cross-border diversification and sectoral synergies representing both the supplier<br />

(technology/service providers) and end-user side.<br />

In order to efficiently support the European companies, notably SMEs, in<br />

their conquest of dual-use markets in target countries, various actions are<br />

being carried-out:<br />

• Setting-up of focus groups to discuss innovative solutions in the field of dual-use<br />

technologies and resilient business models<br />

• Identification of international advisors in target countries<br />

• Training and organisation of international missions<br />

• Providing SMEs with a sustainable lifecycle support following their participation<br />

in the missions<br />

In the first 6 months, the consortium has elaborated and carried out a survey acting<br />

as the project’s source of market needs as SMEs are required to take a mapping exercise<br />

to produce the data that will assist with identifying challenges and advantages<br />

of SMEs not only going international, but also collaborating in a cross-sectoral and<br />

boundary environment.<br />

Furthermore, a series of four workshops focusing on the role of selected KETs (cyber-security<br />

& artificial intelligence) for dual-use and on resilient business models is<br />

being organised online between March and June 2022:<br />

• Cyber-security - 24 March 2022<br />

• Artificial Intelligence (AI) - 19 May 2022<br />

• Access to EU funding: European Defence Fund - 2 June 2022<br />

• Procurement processes in target countries - 30 June 2022<br />

Learn more about KETs4Dual-Use project: https://clustercollaboration.eu/content/<br />

european-key-enabling-technologies-dual-use-20<br />

LinkedIn profile: https://www.linkedin.com/showcase/eu-kets4dual-use-2-0<br />

06 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


PARTNER NEWS<br />

www.alpha-rlh.com<br />

NEWS<br />

THE ALPHA-RLH CLUSTER<br />

AND ITS MEMBERS AT PHOTONICS WEST<br />

After two years of pandemic which slowed down international exchanges,<br />

the ALPHA-RLH cluster accompanied its members to the<br />

Photonics West exhibition, one of the major photonics and laser<br />

events, which finally took place in San Francisco over January 25-27, 2022.<br />

Within the French Pavilion organised by Business France, the companies<br />

AA Opto-Electronic, ALPhANOV, Femto Easy, First Light Imaging, Fogale<br />

Nanotech, GLOphotonics and Spark Lasers had the opportunity to exhibit<br />

and promote their technologies. Many other members participated with their<br />

own booth and/or visited the trade show. PIMAP+ European project, coordinated by ALPHA-RLH,<br />

facilitated the participation as visitors for two members, Polytec and Mathym. ALPHA-RLH<br />

also met with its European partners to set-up future internationalisation activities.<br />

The next edition of Photonics West will be held from January 28 th to February 2 nd , 2023.<br />

ALPHA-RLH is planning to attend such a great event!<br />

NewSkin project: application<br />

for the second NewSkin Open Call<br />

ALPHA-RLH and the 33 other partners involved in the<br />

Horizon 2020 NewSkin project have closed the 1st open call<br />

on the 31st of January 2022. This was a great success as 22<br />

applications from SMEs, research organisations and public<br />

structures were selected to cooperate with the NewSkin<br />

partners in the framework of R&D projects. These services<br />

are entirely financed by the NewSkin project and will allow<br />

to develop and test new nanotechnological products and processes on prototypes and<br />

thus improve the performance of surfaces (including metals, polymers, ceramics, graphene<br />

etc.). A second open call will be open from April to July 2022. Do not miss this opportunity<br />

to join the Open Innovation Test Bed allowing to evaluate and uptake innovative surface<br />

nanotechnologies and connect with a unique innovation ecosystem. Register on the project<br />

platform to join the NewSkin community, increase your organisation’s visibility, discover<br />

the NewSkin service offer and apply for the NewSkin open calls.<br />

Contact: Romain Herault - r.herault@alpha-rlh.com<br />

French innovations<br />

at CES Las Vegas<br />

The CES Las Vegas, the world's<br />

largest event for new technologies,<br />

was held over January 5-7, 2022.<br />

A French delegation of 140 start-ups<br />

was present at the show. Among<br />

them, a delegation of 24 start-ups<br />

from Nouvelle-Aquitaine, supported<br />

by the Nouvelle-Aquitaine Regional<br />

Council, the French Tech Bordeaux,<br />

the International Chamber of<br />

Commerce of Nouvelle-Aquitaine<br />

and the ALPHA-RLH cluster. They<br />

had the opportunity to present their<br />

innovations and benefit from media<br />

exposure. We can mention Airudit,<br />

a member of the ALPHA-RLH<br />

cluster, specialised in the design<br />

of voice-controlled human/system<br />

interfaces, and MyEli, which won the<br />

CES 2022 Innovation Award for its<br />

connected jewel that alerts, secures<br />

and protects you in case of danger.<br />

The exhibition allowed ALPHA-RLH<br />

to discover the latest technological<br />

innovations and their applications<br />

on the markets, particularly in<br />

the fields of artificial intelligence,<br />

automotive technology, digital<br />

health, well-being and smart home.<br />

A great experience!<br />

© French Tech Bordeaux<br />

Available funds from PhotonHub Europe project<br />

to accelerate your cross-border innovation projects<br />

PhotonHub Europe project, whose ALPHA-RLH is one of the partners (linked third party), offers<br />

innovation support for European SMEs covering the entire value chain:<br />

• Prototyping (TRL 3-4): Highly collaborative co-innovation initiatives between the PhotonHub<br />

partner(s) and the company. Max grant: 100 k€.<br />

• Upscaling (TRL5-6): Support to optimise an initial prototype for small-series production<br />

in a manner which is compatible with full-scale manufacturing (possibility to include third<br />

parties). Max grant: 250 k€.<br />

• Manufacturing (TRL7-8): Brokerage service, helping companies innovating with photonics to<br />

rapidly connect with existing European manufacturers (2 k€ for EPIC to support the company).<br />

Interested companies should fill in the registration form available on the website to be<br />

contacted and oriented by the project’s team: https://www.photonhub.eu/application-form/<br />

UPCOMING<br />

INTERNATIONAL<br />

EVENTS<br />

Business Mission AISTech 2022<br />

May 16-19 in Pittsburgh (USA)<br />

Manufacturing World Japan<br />

June 22-24 in Tokyo (Japan)<br />

Laser World of Photonics China<br />

July 13-15 in Shanghai (China)<br />

INPHO Venture Summit<br />

October 13-14 in Bordeaux<br />

(France)<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 07


PARTNER NEWS<br />

NEWS<br />

www.photonics-france.com<br />

NEW MEMBERS<br />

Welcome to our new<br />

members : Axeclair, Cegitek<br />

and Luzilight !<br />

BUSINESS MEETING<br />

Photonics for Agrifood industry<br />

May 24 in Paris<br />

The 5 th edition of Photonics Online<br />

Meetings, a European wide virtual<br />

business event dedicated to<br />

photonics technologies, will be held<br />

on 22 November 2022.<br />

The event will bring together major<br />

contractors and suppliers of photonics<br />

technologies and services.<br />

An exceptional arrangement of<br />

pre-scheduled and relevant meetings<br />

between technology suppliers and<br />

contractors will make this day a unique<br />

event during which partnerships and<br />

business opportunities are woven.<br />

In addition, a rich program of plenary<br />

conferences, demonstrations and<br />

technical presentations led by experts<br />

will form pattern of the event.<br />

For further information and to register:<br />

https://onlinemeetings.photonicsfrance.org/<br />

AGENDA<br />

Laser world of photonics,<br />

Munich, April 26-29, 2022<br />

After many successful editions covering different industries, Photonics France<br />

organizes a Business Meeting on May 24, 2022 dedicated to the Agrifood industry.<br />

A full day dedicated to business and networking in Paris (Denfert-<br />

Rochereau), with conferences and workshops on the needs and projects of major<br />

contractors and integrators<br />

For more information and registration : www.billetweb.fr/<br />

business-meeting-agroalimentaire<br />

The event is French speaking only;<br />

Call for submissions: optics and laser safety days<br />

JOURNÉES SECURITE OPTIQUE ET LASER (JSOL)<br />

November 8-9, 2022 in Bordeaux<br />

Business meeting agrifood,<br />

Paris, May 24, 2022<br />

[French speaking only]<br />

Journées securite optique<br />

et laser ( jsol)<br />

Bordeaux, November 8-9, 2022<br />

French photonics days<br />

Saint-Etienne,<br />

October 20-21, 2022<br />

[French speaking only]<br />

Photonics online meetings,<br />

Online, November 2022<br />

CONTACT<br />

PHOTONICS FRANCE<br />

contact@photonics-france.org /<br />

www.photonics-france.org<br />

The 4 th edition of the Optical and Laser Safety Days at Work (Journées Sécurité<br />

Optique et Laser au Travail – JSOL), organized by the National Optical Safety<br />

Committee (Comité National de Sécurité Optique - CNSO) will take place on November<br />

8 and 9, 2022 in Bordeaux. The objective of this event is to promote a safety and<br />

prevention awareness in the field of laser and optical security in companies.<br />

We are looking for speakers to present the risks related to the use of lasers or optical<br />

sources, best practices, as well as the evolution of the regulations.<br />

You want to submit a presentation? Send your abstract to cnso@photonics-france.org<br />

08 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


PARTNER NEWS<br />

https://nano-phot.utt.fr/<br />

NEWS<br />

Nano-optics & Nanophotonics (NANO-PHOT)<br />

Graduate School<br />

An unparalleled 5-year program of excellence<br />

Training by research<br />

NANO-PHOT (Nano-Optics & Nanophotonics) offers an ambitious 5 years<br />

(Master + PhD) education program on the use of light on a nanometer scale.<br />

It aims at training the next generations of researchers and professionals at<br />

the cutting edge of nanophotonic’s sciences and technologies.<br />

Master program (30 ECTS credits/semester)<br />

The NANO-PHOT graduate School offers a rich training program that is 100 % taught<br />

in English. It involves more than 20 faculty members, among them 10 external specialist<br />

lecturers for about 15 classes.<br />

Semester 1 in Reims: Mathematical and numerical tools for physicists, Wave Optics,<br />

Solid state Physics Communication, bibliography, conferences<br />

Foreign Language, Lab Project I (1/day/week)<br />

Semester 2 in Troyes: Classical and quantum light-matter interaction; Materials and<br />

devices in optics and optoelectronics; Nano-optics and Nanophotonics; Microscopies<br />

& Spectroscopies; Nanofabrication & nanomaterials; Innovative companies: entrepreneurship,<br />

economic intelligence, Intellectual properties; Foreign Language; Lab<br />

Project II (1 day/week)<br />

Semester 3 in Troyes: Multi-scale characterization; Hot topics in nano-optics<br />

& nanophotonics; Quantum Optics and Nano-Optics; Foreign language; Management<br />

of research projects; Lab Project III (2 days/week)<br />

Semester 4: 6-month internship in a partner laboratory or company. The master<br />

thesis can be based on the previous Lab projects.<br />

PhD program (UTT doctoral school)<br />

• 3-years PhD research project in a Laboratory within the NANO-PHOT network<br />

• Joint international PhDs are possible!<br />

• Science and Technology Training - 60 h - examples of courses: laser use, atomic force<br />

microscopy, nano-optics & plasmonics<br />

• Employability-Focused/Human Science training - 60h - example of course: ethics and<br />

scientific integrity.<br />

Target skills<br />

• Basics of the multiscale interaction between light and matter<br />

• Knowledge and knowhow in the field of nano-optics and nano-photonics<br />

• Knowing the different types of optical materials and their properties<br />

• Knowing the behavior of light at the quantum level.<br />

• Skills in the use of tools of numerical simulation, nanocharacterization<br />

and nano-fabrication.<br />

• Getting aware of the potential domain of applications of nanooptics<br />

and nanophotonics.<br />

• Autonomy in a research laboratory in interaction with a research team.<br />

• Setting up and managing national and international research projects.<br />

• Understanding the economic and legal environment of innovative companies.<br />

Arousing students' interest in research<br />

begins with their involvement<br />

in laboratories.<br />

The NANO-PHOT Graduate School allows<br />

students to carry out "Lab projects"<br />

from the first year of their Master's degree.<br />

The NANO-PHOT students may<br />

have a complete access of all research<br />

facilities after specific trainings. Located<br />

on two sites, research facilities are<br />

spread among 7 involved laboratories<br />

and a 1200 m 2 platform of technology<br />

(including 750 m 2 of clean rooms).<br />

NEWS<br />

• A Troyes-Berlin-Ohio<br />

Nanophotonics Workshop<br />

took place in Troyes on 2022,<br />

February 24 th<br />

https://nano-phot.utt.fr/news/<br />

troyes-berlin-ohio-nanophotonicsworkshop<br />

• NANO-PHOT has been<br />

sponsoring the annual French<br />

scanning probe microcopy<br />

forum that took place in the<br />

beautifull “baie de Somme”<br />

in March 2022:<br />

www.sondeslocales.fr/forum 2022<br />

• NANO-PHOT is one of the<br />

sponsors of the NFO16<br />

conference (The 16th<br />

International Conference<br />

on Near-Field Optics,<br />

Nanophotonics and Related<br />

Techniques) that will take place<br />

in Victoria, BC, Canada from<br />

29 August to 2 September 2022<br />

https://nfo16.ece.uvic.ca/index.html<br />

#clients-j<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 09


PARTNER NEWS<br />

NEWS<br />

www.photonics-bretagne.com<br />

ECA-iXblue,<br />

a new French naval<br />

defense leader<br />

Strong attendance of the Photonics<br />

Bretagne network at Photonics Europe<br />

Groupe Gorgé, parent company of robotic<br />

specialist ECA-Group, has announced<br />

the acquisition of iXblue for 410 million<br />

euros. This operation will lead to a worldclass<br />

player in the fields of maritime,<br />

inertial navigation, defense, space and<br />

photonics. Long-standing partners, ECA<br />

Group and iXblue benefit from strong<br />

technological and commercial synergies.<br />

With a unique offer ranging from components<br />

to complex systems, the group will<br />

provide high performance solutions for<br />

critical missions in harsh environments.<br />

Photonics Bretagne<br />

expands its team<br />

Photonics Bretagne welcomes three<br />

new talents who joined the team in<br />

2022 to bring their complementary<br />

expertises to the Research and<br />

Technology Organisation:<br />

Robin POUYET<br />

Materials Engineer<br />

and Polymer Chemist<br />

Stéphane PERRIN<br />

Biophotonics<br />

Project Manager<br />

Sébastien CLAUDOT<br />

Technical Manager<br />

Photonics Bretagne and its members (IDIL Fibres Optiques, iXblue, Kerdry, Leukos,<br />

Lumibird, Luzilight, mirSense, Optosigma Europe, Oxxius, Silentsys) have exhibited<br />

at Photonics Europe in Strasbourg from April 3 to 7 and presented their latest<br />

innovations in sensing, imaging, lasers and related components. Photonics Bretagne has<br />

put in light its new range of VLMA Yb fibres, draw tower Bragg gratings, and multiple<br />

range of PCF (Hollow core, supercontinuum, endlessly singlemode…).<br />

The new Perfos® Polarisation Maintening (PM) Ytterbium doped Very Large Mode Area<br />

(VLMA) fibre is particularly suited for the continuously growing ultrafast fibre laser<br />

market. The combination of robust single mode behavior in an all-solid glass form<br />

factor with 750 µm 2 fundamental mode area makes this fibre an ideal tool for high-end<br />

industrial fibre laser manufacturers.<br />

The fibre Bragg gratings arrays are perfectly suited to be used as thermal or strain sensors.<br />

We inscribe them directly during the draw to allow the fibre to preserve its pristine<br />

mechanical strength. Our process allows us to inscribe in the fibre as many gratings as<br />

requested in a repeatable way.<br />

Photonics Bretagne also showed its very last development on metal coatings that allow<br />

optical fibres to handle harsch environment (High temperature, radiative conditions…).<br />

AGENDA<br />

Agrophotonics Webinar<br />

Québec-Bretagne<br />

May 11-12, Online<br />

Agrophotonics MorningTech<br />

“Light technologies at the<br />

service of animal production”<br />

June 9, Ploufragan (France)<br />

Photonics Bretagne<br />

General Assembly<br />

June 21, Lannion (France)<br />

5G ACCELERATION STRATEGY<br />

AND NETWORKS OF THE FUTURE:<br />

LAUNCH OF SIMBADE PROJECT<br />

The SIMBADE project is one of the seven initiatives selected from the French Government<br />

as part of the "5G Acceleration Strategy and Networks of the Future" program, and<br />

received funding from Direction Générale des Entreprises (DGE). The partners of the<br />

project are Ekinops (project leader), Idil Fibres Optiques, Le Verre Fluoré, Orange, the University<br />

Lille 1 - PhLAM laboratory, and Photonics Bretagne. One objective is to develop the telecom<br />

infrastructure and transport capabilities to unlock networks of the future. It aims to increase<br />

the exploitable bandwidth in DWDM transmission systems through the development of efficient<br />

fibre amplifiers in O-E-S telecom bands.<br />

10 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


PARTNER NEWS


PARTNER NEWS<br />

NEWS<br />

www.minalogic.com<br />

Open platform<br />

to explore<br />

new usage scenarios<br />

for optic sensors<br />

On April 5 th , together with the CEA,<br />

Captronic, the Auvergne-Rhône-Alpes region,<br />

the IRT Nanoelec and the Auvergne-<br />

Rhône-Alpes Entreprises agency,<br />

Minalogic presented at the “SystemLab”<br />

Regional Digital Campus an open platform<br />

for new imaging applications. In<br />

particular, STMicroelectronics, Lynred and<br />

Prophesee will examine with small enterprises<br />

new scenarios for the use of optic<br />

sensors by amalgamating data using artificial<br />

intelligence. The goal of this activity<br />

is to promote closer collaboration between<br />

potential users and the R&D actors in optical<br />

imaging by exploring, looking ahead to<br />

and opening the way for tomorrow’s technologies<br />

and uses. This morning event involved<br />

ten start-ups, small enterprises and<br />

micro enterprises and other organizations<br />

from the region.<br />

For more information, please go to<br />

the IRT Nanoelec web site or contact<br />

Florent Bouvier.<br />

AGENDA<br />

All eyes are on the 2022 French<br />

Photonics Days in Saint-Etienne<br />

The 4 th edition of the French Photonics Days will be held on October 20 th and 21 st ,<br />

2022, in Saint-Etienne. The event is being hosted by Photonics France, SupOptique<br />

Alumni, Minalogic and Cluster Lumière, in partnership with Manutech Sleight<br />

Graduate School and the Institut d'Optique Graduate School, with support from<br />

the Saint-Étienne Urban Area and the Auvergne-Rhône-Alpes Region.<br />

The goal of French Photonics Days is to promote<br />

the French field of photonics, to give due<br />

credit to the regions’ actions and investments<br />

in this field, and to highlight the technological advances<br />

and market perspectives of local actors.<br />

The topic selected for this 4 th year’s event<br />

is “Photonics for Displays, Lighting and<br />

Manufacturing”. This topic reflects the skills and experience of the actors in the<br />

local networks and enables French Photonics Days to benefit from the label and<br />

the dynamics of the Manufacturing Biennale.<br />

Designed for a technical but not specialized audience, the objectives of French<br />

Photonics Days are to:<br />

• provide an update on the development of new photonics technologies and present<br />

their applications and markets,<br />

• discuss education and training, and future planning for the field of photonics,<br />

• promote new products at the event sponsors’ stands,<br />

• offer visits of local companies.<br />

In technical terms, the subjects adopted are: the revolution in free-form optics,<br />

photonics and surfaces, and new LEDs and OLEDs for lighting and displays.<br />

This year’s event, to be held in the UNESCO city of creative design, will also comprise<br />

many occasions for networking, including an evening reception.<br />

Registration can be done on the Minalogic and Photonics France web sites.<br />

Registration is free for members of the sponsoring entities (except for the reception).<br />

Minalogic Business Meetings<br />

May 31, 2022, in Grenoble<br />

Minalogic Annual Day,<br />

June 23, 2022, in Grenoble<br />

Laser Processing<br />

for Industry” talks,<br />

June 28-29, 2022, in Saint-Etienne<br />

Photonics for Health” week,<br />

July 4-8, 2022, in Saint-Etienne<br />

Vision trade fair,<br />

October 4-6, 2022, in Stuttgart<br />

“French Photonics Days”, October<br />

20-21, 2022, in Saint-Etienne, as part<br />

of the Manufacturing Biennale.<br />

Contact person:<br />

Florent Bouvier<br />

Photonics Manager in Minalogic<br />

Tel: +33 (0)6 35 03 98 52<br />

florent.bouvier@minalogic.com<br />

LASER WORLD OF PHOTONICS:<br />

A GREAT SUCCESS FOR THIS 2022 EVENT<br />

Minalogic took part in the Laser World of Photonics, the worldwide trade fair for photonics<br />

components, systems and applications that was held on April 26-29, in Munich.<br />

Our cluster accompanied a regional delegation of 9 members, under the aegis of<br />

its International Development Plan, with financial support from the Auvergne-Rhône-Alpes<br />

region. Present at the French Pavilion, operated by Business France and coordinated by<br />

Photonics France to bring together the French photonics field, 5 members of Minalogic (Data<br />

Pixel, Hef Groupe, Qiova, Set Corporation, Teem Photonics) benefited from high visibility<br />

and the collective strength of the groups flying the French flag. Alpao, Cedrat Technologies<br />

Fibercryst, Edmund Optics and Mathym were present with their own stands.<br />

On site, Florent Bouvier and Damien Cohen, from Minalogic’s staff, assisted the members with<br />

their R&D and business prospection activities. They also took advantage of the event to promote<br />

the regional photonics entities at the international level and to identify relevant contacts. In<br />

order to promote networking, conviviality and occasions for meeting people, a reception was<br />

held on April 27 th at the French Pavilion that brought together the members of the French photonics<br />

entities and a number of European partners participating in the Photonics21 platform.<br />

For more information, please refer to the Minalogic web site.<br />

12 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


PARTNER NEWS


RESEARCH NEWS<br />

News from the webb<br />

On December 25 th 2021, the largest space telescope ever built was launched from Kourou on Ariane<br />

5. After receiving this wonderful Christmas gift, astronomers around the world are now eagerly<br />

awaiting the first observations of the Webb telescope.<br />

After receiving this wonderful<br />

Christmas gift, astronomers<br />

around the world are now eagerly<br />

awaiting the first observations of<br />

the Webb telescope. However, unlike<br />

most of its predecessors, the Webb telescope<br />

was not optically operational<br />

after its launch. Six months have been<br />

planned to bring the Webb into its full<br />

scientific capabilities. As of April 1st<br />

2022, no big issues have arisen and<br />

all optical parameters that have been<br />

checked and tested are performing at<br />

the level, or above, of the expectations.<br />

Below is a summary of the milestones<br />

that have been achieved since<br />

the launch:<br />

On Jan 4 2022, the deployment of the<br />

five-layered sunshield that protects<br />

the telescope from the light and heat<br />

of the Sun, Earth, and Moon was successful.<br />

This crucial step took 7 days<br />

with the unfolding and tensioning of<br />

the five thin plastic sheets coated to<br />

reduce the solar power received by<br />

the telescope by a factor of about one<br />

million. The 74 cm secondary mirror<br />

was then deployed at 7 m in front of<br />

the primary mirror, which was still<br />

folded at that time. The telescope was<br />

fully deployed on January 8 when the<br />

two folded wings of the primary mirror<br />

were opened out. The Webb Space<br />

Telescope reached its desired orbit,<br />

nearly 1.5 million kilometers away<br />

from the Earth at the second Sun-<br />

Earth Lagrange point on January 24.<br />

While the telescope and instruments<br />

were still cooling down, alignment of<br />

the telescope started in mid-January<br />

and underwent a series of steps to get<br />

each individual segment aligned and<br />

cophased.<br />

After moving the 7 actuators of each<br />

segment of the primary mirror to their<br />

flight position, the next step was to<br />

identify the 18 images of a star given<br />

by each segments using the NIRCam<br />

instrument. After repositioning them<br />

Figure 1: Diffraction image of the same star<br />

by each of the 18 segments of the primary<br />

mirror. The segments are tilted to create a<br />

hexagonal grid on the NIRCam instrument.<br />

Each image is labelled with the corresponding<br />

mirror segment that captured it. Credits: NASA/<br />

STScI/J. DePasquale. https://blogs.nasa.gov/<br />

webb/2022/02/18/webb-team-brings-18-dotsof-starlight-into-hexagonal-formation/<br />

in a hexagonal pattern (Image 1), each<br />

individual image diffracted by a segment<br />

is focused by updating the alignment<br />

of the secondary mirror and<br />

optimizing the positions of the mirror<br />

segments using their actuators.<br />

After superimposing the 18 images on<br />

top of each other, the segments still<br />

required to be co-phased with each<br />

other by following two steps:<br />

1) Dispersed fringe spectra recorded<br />

on NIRCam from 20 separate pairings<br />

of mirror segments allow a coarse<br />

correction of the vertical displacement<br />

(piston difference) between<br />

the segments.<br />

2) A fine correction is applied based<br />

on the estimation calculated by<br />

phase retrieval algorithms using defocused<br />

images.<br />

This alignment stage was completed<br />

on March 11 with the release of a first<br />

image (Image 2) showing the diffraction-limited<br />

image of an alignment<br />

star and already plenty of small galaxies<br />

in the background…<br />

Early April, this was completed with<br />

the alignment of other Webb instruments:<br />

the Fine Guidance Sensor<br />

(FGS), the Near-Infrared Slitless<br />

Spectrograph (NIRISS), and the Near-<br />

Infrared Spectrometer (NIRSpec).<br />

The Mid-Infrared Instrument (MIRI)<br />

continues its cooling and should soon<br />

reach its cryogenic operating temperature<br />

(7K). A second multi-instrument<br />

alignment will then be carried<br />

out to finalize adjustments of the instruments<br />

and mirrors.<br />

The instruments will be tested in their<br />

different observation modes, to make<br />

sure that they are ready for scientific<br />

observations. Before the end of this<br />

commissioning phase, a few observations<br />

will be made. Once processed,<br />

they will provide the very first images<br />

available to researchers and public<br />

illustrating the capabilities of the<br />

James Webb Space Telescope. Where<br />

Webb will look first has not yet been<br />

disclosed but stay tune… The images<br />

will probably be spectacular !<br />

AUTHOR<br />

Pierre Baudoz, LESIA, Observatoire de Paris,<br />

Université PSL, CNRS, Sorbonne Université,<br />

Université de Paris, France<br />

Figure 2: First diffraction-limited NIRCAM<br />

image released. Hundreds of galaxies can<br />

already be detected in this image. © Nasa.<br />

https://www.nasa.gov/press-release/nasa-swebb-reaches-alignment-milestone-opticsworking-successfully.<br />

14 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


CROSSWORDS<br />

CROSSWORDS<br />

ON OPTICAL<br />

FREQUENCY COMBS<br />

By Philippe Adam<br />

8<br />

<br />

10<br />

9<br />

<br />

1<br />

<br />

<br />

11<br />

<br />

2<br />

<br />

12 13<br />

3<br />

<br />

<br />

<br />

4<br />

<br />

5<br />

<br />

6<br />

<br />

7<br />

<br />

1 Its phase has to be compared with envelope<br />

2 Needed mode to generate frequency combs<br />

3 Interval precisely equal to the repetition rate<br />

4 Spanning music<br />

5 2005 Nobel Prize in Physics<br />

6 Used to measure unknown frequencies<br />

7 Straightforward application of FC<br />

8 Very straightforward application of FC<br />

9 Separation frequency between two modes<br />

10 Long wavelength today produced<br />

by photonic chips<br />

11 Nonlinear effect which could induce<br />

FC in micro-resonators<br />

12 Efficient (or finesse) factor<br />

13 Transmitted from pulse to pulse<br />

SOLUTION ON<br />

PHOTONIQUES.COM<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 15


RESEARCH NEWS<br />

Electrically driven random lasers<br />

Random lasers (RLs) are intriguing devices that attract the interest of researchers for the varied phenomena<br />

they present in areas such as complexity, chaos etc.<br />

But they also have a practical aspect<br />

with promising applications<br />

as light sources for illumination<br />

in microscopy, sensing, super-resolution<br />

spectral analysis, or complex network<br />

engineering. RLs usually require two<br />

material components associated with<br />

the amplification (gain) and feedback<br />

(light diffusion) processes inherent to<br />

lasing. Thus, they have been customarily<br />

obtained from optically pumped organic<br />

dyes, optical fibers and crystals powders,<br />

or electrically pumped semiconductor<br />

heterostructures. Semiconductor RLs<br />

are usually manufactured by introducing<br />

light-diffusing defects in the active<br />

layer, something that adds a degree of<br />

complexity to the manufacturing process<br />

and spoils the ease of realization potentially<br />

offered by messy structures. The<br />

direct availability of electrically pumped<br />

RLs, avoiding an involved and expensive<br />

manufacturing process, could crush the<br />

principal hurdle to their use in research<br />

and technology.<br />

A team of researchers at ICMM (CSIC),<br />

in Madrid realized a procedure to manufacture<br />

a semiconductor RL from an<br />

off-the-shelf laser diode. The fabrication<br />

simply uses the high energy pulses from<br />

an ablating laser to sculpt the output mirror<br />

to create submicrometric roughness.<br />

The optical feedback provided by the<br />

ablated front mirror in combination with<br />

the intact rear mirror results in strong<br />

modification of the cavity modes and<br />

leads to laser emission with a random<br />

multimode spectrum. This in turn lowers<br />

the spatial coherence and messes the angular<br />

pattern. The speckle, characteristic<br />

of highly coherent light sources, is here<br />

strongly reduced.<br />

REFERENCE<br />

A. Consoli, N. Caselli, and C. López,<br />

"Electrically driven random lasing from<br />

a modified Fabry–Pérot laser diode,"<br />

Nat. Photonics 16, 219–225 (2022).<br />

Brillouin light<br />

amplification in silica<br />

nanofiber gas cell<br />

Brillouin scattering in optical waveguides<br />

draws plenty of attentions since it has been<br />

widely exploited for various important applications,<br />

such as microwave photonics,<br />

highly coherent fibre laser, and distributed<br />

fibre sensor. EPFL scientists, in collaboration<br />

with FEMTO-ST Institute, have achieved<br />

a huge amplification of light over a<br />

few centimetre with tapered silica optical<br />

fiber surrounding by high pressure gas. The<br />

strong Brillouin gain in the evanescent field<br />

together with the high tunability offered by<br />

the gaz (gaz type and pression), makes the<br />

integrated Brillouin amplifier very distinct<br />

compared to its solid material counterpart.<br />

They research team has demonstrated a<br />

79-times higher peak Brillouin gain coefficient<br />

in the nanofibre gas cell with 57 Bar of<br />

C0 2 compared to that in a standard singlemode<br />

fibre.<br />

Yang, F, et al. “Large evanescently-induced<br />

Brillouin scattering at the surrounding of a<br />

nanofibre” Nat. Comm. 13, 1432 (2022).<br />

https://doi.org/10.1038/s41467-022-29051-8<br />

16 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


ADVERTORIAL<br />

SEDI-ATI FIBRES OPTIQUES<br />

RELIABLE FIBER-OPTIC<br />

HERMETIC FEEDTHROUGHS FOR<br />

EXTREME ENVIRONMENTS<br />

FOR PRESSURE, VACUUM, CRYOGENIC,<br />

BAKE-OUT, AND RADIATION APPLICATIONS<br />

SEDI-ATI hermetic fiber-optic feedthroughs meet stringent<br />

sealing and leak tightness requirements to withstand extreme<br />

environments in demanding markets such as quantum,<br />

space, oil & gas, electric power distribution, and nuclear. Our<br />

feedthroughs can achieve hermeticity where pressure is as high<br />

as 1000 bars, vacuum is as low as 10 -12 mbar, radiation levels<br />

are above 100 M Gray, temperature exceeds 200 °C or goes<br />

down to 0.5 K.<br />

BESPOKE DESIGNS TO SUIT<br />

MANY APPLICATIONS<br />

SEDI-ATI's great strength is its ability to adapt the feedthrough<br />

to the customer's needs. Depending on the application,<br />

the design of a feedthrough can be significantly<br />

different i.e., single or multifiber, fixed or reconfigurable,<br />

bulkhead or inline, with or without flange… Also, a wide<br />

variety of singlemode, polarization maintaining, and multimode<br />

optical fibers can be integrated such as specialty<br />

fibers, solarization resistant fibers, or metal-coated fibers.<br />

Finally, we devote particular attention to both the choice of<br />

materials and the choice of the sealing technology: epoxy,<br />

glass-soldering, brazing.<br />

ABOUT SEDI-ATI FIBRES OPTIQUES<br />

With 50 highly skilled and qualified professionals, a strong<br />

R&D team, and ISO 9001 & 13485 certifications, SEDI-ATI has<br />

in-house resources required to adapt and integrate an intrinsically<br />

fragile material such as the optical fiber to a wide variety<br />

of complex and extreme environments. Our essential factory<br />

equipment comprises two clean rooms, a pressure test bench,<br />

helium leak bench, two evaporation chambers, spectrometers,<br />

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SHARE YOUR DREAMS WITH US!<br />

We are always ready to listen to your needs and offer you optimal<br />

solutions to overcome your challenges. So do not hesitate<br />

to consult us!<br />

CONTACT<br />

Claire GUYONNET / Sales & Marketing Director<br />

contact@sedi-ati.com<br />

www.sedi-ati.com<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 17


INTERVIEW<br />

Michael Mei, Menlo Systems<br />

Menlo Systems recently celebrated<br />

its 20 th anniversary. What were your<br />

initial motivations for creating a new<br />

company in the field of optics and photonics?<br />

What have been the main steps<br />

in terms of growth and development?<br />

In the 1990s, Prof. Theodor Hänsch’s<br />

group at the Max-Planck Institute of<br />

Quantum Optics performed precision<br />

measurements on the hydrogen atom, but<br />

rapidly the possibilities to measure the<br />

wavelengths were exhausted. Frequency<br />

measurement, on the other hand, was<br />

an almost impossible undertaking. This<br />

changed with the invention of the optical<br />

frequency comb technology: an approach<br />

involving the measurement of optical frequencies<br />

using the comb spectrum of a<br />

mode-locked femtosecond laser.<br />

In 2005, Theodor Hänsch and John Hall<br />

were awarded the Nobel Prize in Physics<br />

for their contributions to the development<br />

of high-precision laser spectroscopy, including<br />

frequency comb technology.<br />

Already in 2001, Theodor Hänsch, Ronald<br />

Holzwarth and myself had founded<br />

Menlo Systems GmbH with the mission<br />

to commercialize the frequency comb<br />

technology. Today, Menlo Systems is one<br />

of the market leaders in high-precision<br />

measurement technology and employs<br />

over 160 people worldwide.<br />

INNOVATION & TECHNOLOGY<br />

Can you describe the core of your technology?<br />

What are the main scientific fields<br />

of application of your products?<br />

By means of mode-locked femtosecond<br />

lasers, we were able to create frequency<br />

combs that could be used like a ruler to<br />

directly measure optical frequencies.<br />

The progress was enormous: previously,<br />

equipment filling a whole laboratory was<br />

required to measure a single optical frequency,<br />

whereas now we had a setup of<br />

approx. 1m 2 with which we could measure<br />

any frequency. This was a quantum<br />

leap for many applications. The first<br />

optical frequency combs were rather<br />

sensitive instruments, but over the years<br />

the technology has matured, and optical<br />

frequency combs nowadays are turn-key<br />

fiber-based laser systems designed for<br />

24/7 operation.<br />

Can you comment on the impact of<br />

optical frequency combs on science<br />

and technology?<br />

The impact of optical frequency combs<br />

on science and technology can hardly be<br />

overestimated. While some of the early<br />

adopters predicted limited applications<br />

in traditional high-resolution spectroscopy<br />

only, over the course of the last 20<br />

years the field of applications has widened<br />

and optical frequency combs are<br />

regarded as key enabling tools for many<br />

applications from optical clocks, quantum<br />

sensing and quantum computing, to<br />

detecting exoplanets in astronomy, and<br />

offering unmatched accuracies for tasks<br />

in industrial metrology.<br />

MARKET & STRATEGY<br />

Are you focusing your sales efforts in<br />

Europe or worldwide?<br />

Menlo products all have in common that<br />

the optimal use is in applications where<br />

precision counts. From the very beginning<br />

we had customers from all over<br />

the world. From our headquarters in<br />

Martinsried, close to Munich, we serve<br />

the German and most of the European<br />

market, supported by local experts in<br />

selected countries like our regional sales<br />

engineer located in Bordeaux. In the US,<br />

China, and Japan we have sales and service<br />

offices, with the aim to be close to the<br />

applications and to our customers.<br />

Is Europe a great place for photonics?<br />

Europe has a long tradition in photonics.<br />

Many scientific discoveries and inventions<br />

have been made by its excellent scientists.<br />

The industry benefits from the continuous<br />

stream of graduates out of highly-ranked<br />

universities. In France, there are around<br />

200 science labs with 13.000 scientists, and<br />

about 1000 companies with 50.000 jobs<br />

in optics and photonics (according to<br />

the French trade association AFOP). In<br />

Germany, the situation is excellent as well.<br />

So yes, we consider Europe a great place<br />

for photonics, with France and Germany<br />

both playing an important role.<br />

How do you evaluate the evolution of<br />

photonics? How to increase the spread<br />

of photonic technologies and strengthen<br />

the companies and market?<br />

With new strategic plans for quantum<br />

technologies in place we are observing<br />

the creation of several new companies<br />

and research projects with innovative<br />

quantum applications and technologies.<br />

In France, Menlo Systems already<br />

supports these initiatives by unlocking<br />

access to better laser metrology with<br />

optical frequency combs, and by providing<br />

customizable laser systems for demanding<br />

quantum applications. Menlo<br />

Systems will keep working closely with<br />

French actors of quantum technology<br />

to support this ambitious national plan.<br />

VISION & PERSPECTIVES<br />

How do you imagine the next 20 years for<br />

your company and for photonics? Have<br />

you identified promising scientific areas<br />

for photonic technologies?<br />

Taking the optical frequency comb as<br />

an example, the evolution of scientific<br />

areas has rapidly grown from precision<br />

spectroscopy to very diverse fields including<br />

precision metrology, optical atomic<br />

clocks, astronomy, space applications,<br />

and the quantum technologies. We are<br />

convinced that we currently only see the<br />

tip of the iceberg. By means of integrated<br />

optics and chip based optical frequency<br />

combs our vision is that advanced spectroscopic<br />

tools will become available with<br />

any smartphone in 20 years from now.<br />

CONTACT: Dr. Michael Mei<br />

Menlo Systems GmbH<br />

Bunsenstraße 5<br />

82152 Martinsried, Germany<br />

m.mei@menlosystems.com<br />

18 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


ADVERTORIAL<br />

TIAMA: THE GLOBAL PROVIDER<br />

OF REAL-TIME DATA AND QUALITY CONTROLS<br />

TIAMA is one of the world leaders<br />

in providing inspection and quality<br />

control solutions for the glass<br />

packaging industry. It offers tools for<br />

glassplants to enhance glass production<br />

process efficiency and to control the glass<br />

container’s integrity by detecting defects<br />

(visual, non-visible, dimensional, etc.).<br />

Created in 2008 from the complementary<br />

know-how of MSC and SGCC firms,<br />

Tiama is today a global market player<br />

offering a complete range of inspection<br />

solutions. Its technical expertise, innovative<br />

approach, and market credibility,<br />

enable the company to offer solutions<br />

that go far beyond the simple control of<br />

defects in glass packaging.<br />

In a few figures, Tiama has 91% of export<br />

sales, customers in 79 countries over<br />

the 5 continents, subsidiaries in China,<br />

and the USA, with teams of local technical<br />

engineers. Since its creation, it has<br />

already installed more than 10,000 online<br />

process and quality control solutions<br />

around the world.<br />

Tiama provides real-time data and recommendations<br />

to help glassmakers to<br />

deliver articles with the highest quality<br />

and to improve their productivity. To<br />

meet all of these needs, Tiama develops<br />

its expertise:<br />

• Intelligence: Software gathering realtime<br />

data across the production line<br />

for analysis and management of the<br />

plant performances with display of the<br />

results on a single platform for a view<br />

at-a-glance of the plant productivity.<br />

• Monitoring: The modular hot-end<br />

monitoring systems provide operators<br />

with immediate data and easily applied<br />

information (gob specifics, etc.) to help<br />

improve productivity.<br />

• Inspection: More than 20 years ago,<br />

Tiama was paving the way with the<br />

Atlas, a camera-based check detection,<br />

with automatic settings adapting themselves<br />

to the production changes. Since<br />

then, Tiama has never stopped improving<br />

its various machines with solutions<br />

that offer fast adjustments. The next<br />

steps, working on Big Data analysis and<br />

deep learning features to increase the<br />

predictability of glass production.<br />

• Traceability: Tiama has launched the<br />

first engraving and reading datamatrix<br />

code solutions and remains the only<br />

company offering you full unitary traceability<br />

of each container.<br />

• Service: With more than 70 local experts,<br />

2 training academies and a dedicated<br />

department focused on customer<br />

satisfaction, Tiama offers unrivalled<br />

global support services.<br />

Innovation<br />

Innovation, new products, state-of-theart,<br />

solutions are fully part of the Tiama<br />

Business model. The company holds today<br />

45 patents and allocates 10 % of its<br />

turnover to the R&D department. TIAMA<br />

teams have industrialized lighting systems<br />

and innovative image processing<br />

technics. Some examples:<br />

• Non-contact detection: following<br />

of collaborative project, we have developed<br />

a non-contact and non-destructive<br />

measurement system using<br />

microfocus X-ray source and CT technics<br />

in the XLAB machine. The system<br />

generates a full 3D image composed of<br />

millions of facets that can be freely rotated.<br />

Volume, capacity, vacuity, diameters,<br />

and angles can be measured as<br />

well as thickness fully mapped.<br />

• Process monitoring: for example, in<br />

the HOT mass systems, the cameras<br />

(located just under the shear cut) take<br />

pictures of the free-falling gobs (drops<br />

of fused glass) which are then analyzed.<br />

These data are used to measure and<br />

predict the trajectory of the gobs and<br />

regulate the gob weight automatically<br />

by controlling the tube and the needles<br />

in the feeder system.<br />

• Thermography: this technique consists<br />

in capturing infrared glass emission<br />

with an infrared camera to give information<br />

on container glass distribution.<br />

The system is synchronized with the individual<br />

section machine, so that the<br />

images of articles taken are linked to<br />

their section and cavity of origin.<br />

• Prediction with dynamic mask: for<br />

example, in the Argos system, the machine<br />

integrates optical devices (using<br />

optical fiber) but also dynamic mask allowing<br />

an automatic learning process<br />

in production, based on a reference<br />

mask built with production bottles.<br />

Conclusion<br />

All these projects are just a small part<br />

of what we develop, we strive to remain<br />

competitive in our field of expertise and<br />

always explore all our opportunities for<br />

innovation through collaborative projects<br />

within our ecosystem for example.<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 19


ZOOM<br />

INTERNATIONAL year of glass<br />

Optical glass:<br />

an interplay of challenges and success<br />

For several hundred years, there has been an<br />

impressive interplay between optical design<br />

and optical glass development. Step by step,<br />

imaging by lenses in microscopes or other optical<br />

instruments has almost reached perfection.<br />

Simultaneously, optical technologies have<br />

broadened their application field by entering,<br />

e.g., the area of telecommunication and being<br />

even the driver of novel technologies like<br />

augmented reality. Remarkably, even with<br />

the latter dramatic change in optics, there<br />

has been a red thread concerning the desired<br />

material properties so far. However, with<br />

today´s nanotechnologies, also completely<br />

new approaches may contribute to the field of<br />

optical materials in future. Who knows?<br />

https://doi.org/10.1051/photon/2021<strong>113</strong>20<br />

Ulrich FOTHERINGHAM * , Matthias MÜLLER<br />

Schott AG, Hattenbergstraße 10, Mainz, Germany<br />

*ulrich.fotheringham@schott.com<br />

Introduction to Optical Glasses<br />

Optical glass has a long history and has been in use for<br />

applications which seem far apart but are not. Who would<br />

imagine that the designer of glass for augmented reality has<br />

to cope with essentially the same issues as his predecessor<br />

working on glass for microscopy 100 years ago? However,<br />

there is a red thread connecting all this.<br />

Both the red thread and different applications will be presented.<br />

First, the "red thread properties", the transmittancy,<br />

the refractive index, and the chromatic dispersion will be<br />

introduced. Remarkably, these properties are interrelated<br />

due to fundamental physics – not only for glass, but for any<br />

optical material (Kramers-Kronig relations [1]). Often, this<br />

makes it difficult to simultaneously adjust these properties<br />

to desired values.<br />

Transmittancy. Preferably, optical glasses are made from<br />

oxides with high bandgaps so that only photons energetically<br />

corresponding to a frequency in the ultraviolet (UV)<br />

will be absorbed. These are, e.g., SiO 2 , B 2 O 3 , CaO etc. [1].<br />

Low band gap, colouring impurities such as Fe 2 O 3 are carefully<br />

avoided. With respect to Kramers-Kronig, however, a<br />

desired dispersion may require oxides with medium-size<br />

band gaps that will move the UV absorption edge close to<br />

the lower end of the visible spectrum (400nm) (see Fig. 1).<br />

Chromatic Dispersion. Commonly, optical glasses are categorized<br />

in the Abbe diagram [2] according to n d , the index at<br />

the Fraunhofer line d (587.6nm, yellow), and a characteristic<br />

figure for the chromatic dispersion, the Abbe number,<br />

which is defined by:<br />

ν d = n d - 1<br />

— (1)<br />

nF - n C<br />

The Abbe number increases with decreasing difference<br />

of the indices at the Fraunhofer lines F (486.1nm, blue)<br />

and C (656.3nm, red), i.e. with decreasing main dispersion<br />

(n F – n C ). It is named after Ernst Abbe who in 1889 founded<br />

the Carl Zeiss foundation, the sole shareholder of the two<br />

companies Carl Zeiss AG and Schott AG.<br />

Relative Partial Dispersion. As the relation between the<br />

refractive index and the wavelength is nonlinear, dispersion<br />

characterization requires a quantity which describes the<br />

degree of nonlinearity. A suited one is the relative partial<br />

dispersion P d,C . It is the ratio between the yellow-to-red<br />

dispersion n d – n C (partial dispersion) and the blue-to-reddispersion<br />

n F – n C (main dispersion):<br />

P d,C = n d - n<br />

— C<br />

(2)<br />

nF - n C<br />

20 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


INTERNATIONAL year of glass<br />

ZOOM<br />

GENERATOR<br />

FOR SYSTEM LASER’S<br />

SYNCHRONIZATION<br />

ADVERTORIAL<br />

For a linear wavelength dependence<br />

of the refractive index, P d,C = 0.4 would<br />

hold. For real glasses, it is lower. Note<br />

that beside P d,C , the analogously defined,<br />

but differently behaving P g,F is in use. g is<br />

the 435.8nm Fraunhofer line.<br />

Refractive Index. Typical refractive index<br />

curves of optical glasses are given<br />

in Fig. 2. They are as expected from<br />

Kramers-Kronig [1]; one observes the<br />

following correlations (Figs. 1, 2):<br />

#1. between the refractive index and<br />

the UV absorption edge: the higher<br />

the average index in the visible spectrum,<br />

the closer the UV absorption<br />

edge to the visible spectrum;<br />

#2. between the UV absorption edge and<br />

main dispersion: the closer the UV<br />

absorption edge to the visible spectrum,<br />

the bigger the main dispersion;<br />

#3. between the main dispersion and relative<br />

partial dispersion P d,C : the bigger<br />

the main dispersion, the smaller<br />

the relative partial dispersion P d,C .<br />

Figure 2: Refractive<br />

Index in UV, VIS, NIR<br />

for three glasses<br />

from SCHOTT AG.<br />

Figure 1: Internal<br />

transmission in<br />

UV, VIS, NIR for<br />

three glasses from<br />

SCHOTT AG.<br />

The correlations #1-3 are what do make optical<br />

materials in the upper left of the Abbe<br />

diagram unfeasible! With the above background<br />

on optical glass, the challenges<br />

from optical design will now be discussed.<br />

Challenges from<br />

Conventional Optics<br />

and Corresponding Glasses<br />

Clear glass: enabler of optical imaging.<br />

Ca. 150 years before the first microscopes<br />

and telescopes were assembled in the early<br />

17th century, the first clear glass had<br />

been made by Angelo Barovier. However,<br />

not knowing how to remove colouring impurities,<br />

he titrated the melt with MnO 2<br />

until decolouration was reached [3]. As<br />

the absorption spectrum of MnO 2 is complementary<br />

to that of, e.g., Fe 2 O 3 , a light<br />

grey absorption and thus an almost clear<br />

appearance may be obtained – a tricky,<br />

but smart approach. (The first application,<br />

however, was tableware.)<br />

Greenfield Technology launches a<br />

new pulse and delay generator that<br />

provides picosecond resolution<br />

pulses and delays. This pulse generator<br />

is well suited to synchronize all<br />

the devices of the Picosecond Laser<br />

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receives a reference signal from the<br />

laser oscillator and the delay generator<br />

provides to all the devices of the<br />

system laser (Pump-laser, Q-switch,<br />

Pockel cell…) can receive repetitive<br />

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amplitude, polarity, and width<br />

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Optionally, pulse amplitude can be up<br />

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<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 21


ZOOM<br />

INTERNATIONAL year of glass<br />

Figure 3: (left) Achromate with residual secondary colour.<br />

(Right) Apochromate.<br />

These glasses were soda/potash-lime-silicates, called "crown<br />

glasses" after the manufacturing method [3]. The optical position<br />

in the Abbe diagram is denoted by "K".<br />

Despite clear glass, the image quality of the early optical instruments<br />

was poor. Due to dispersion, "blue" rays are refracted<br />

stronger than "red" rays and have another focal length (primary<br />

colour). Different colours are imaged to different positions,<br />

with different magnifications, which gives rise to undesired<br />

colour fringes.<br />

Achromates: solution to primary colour. In the middle of the<br />

17 th century, two element lenses were introduced, with the first<br />

element being a converging one with strong refractive power<br />

(short focal length), but small main dispersion, and the second<br />

element being a diverging one with small refractive power, but<br />

strong main dispersion.<br />

By means of glass selection and lens element geometry, they<br />

are constructed such that (1) the resulting doublet is converging,<br />

but that (2) the strong main dispersion of the second<br />

element compensates the small main dispersion of the first<br />

element. (The dispersion by a converging element spreads colours,<br />

the dispersion by a diverging element recombines colours.)<br />

So coincidence of the "blue focus" and the "red focus"<br />

was reached (achromate, Fig. 3).<br />

Expressed as a formula, the condition for achromatism is [3]:<br />

1 1<br />

0 = — + — (3)<br />

f1,d ∙ν 1,d f2,d ∙ν 2,d<br />

The total focal length f d (referring to n = n d ) for the doublet<br />

follows from the additivity rule for thin lens elements:<br />

1 1 1<br />

— = — + —<br />

fd f1,d f2,d ∙<br />

Figure 4:<br />

Spherical<br />

Aberration<br />

(4)<br />

By " 1,2 " reference to the first or second lens element is<br />

indicated.<br />

Fortunately, the high dispersion glass required had been<br />

invented some time before [3] by George Ravenscroft, who had<br />

introduced lead silicate for tableware, with its sparkling due to<br />

high chromatic dispersion being a very much desired feature.<br />

Consider, for instance, PbO·2SiO 2 . Its bandgap is 3.1 eV which<br />

corresponds to 400nm [3]. With correlation #2 (the closer the<br />

UV absorption edge to the visible, the bigger the main dispersion),<br />

a high dispersion glass can be expected. Such low Abbe<br />

number glasses are called "flints". Two names are attached to<br />

the first achromates: Chester Moore Hall (made the invention),<br />

and John Dolland (got the patent and made the money) [3].<br />

Today, lead-free alternatives are often preferred. So beside<br />

the lead silicates with the acronym "SF", the lead- and arsenic-free<br />

"N-SF"-glasses, situated at the same positions in the<br />

upper right of the Abbe diagram, are available.<br />

Figure 5: Lightguide<br />

Apochromates: solution to residual secondary colour. In<br />

Fig. 3 (right), the yellow focal length is slightly smaller than<br />

that for blue and red. This is due to the nonlinear wavelength<br />

dependence of the refractive index, because of which<br />

the blue-to-yellow-dispersion is much bigger than the yellow-to-red-dispersion.<br />

If the spreading of wavelengths caused<br />

by the converging element is to be compensated by the diverging<br />

element, the ratio of the blue-to-yellow-dispersion to the<br />

yellow-to-red-dispersion must be the same for both elements.<br />

This is equivalent to equal relative partial dispersions.<br />

However, correlation #3 says that the bigger the main dispersion,<br />

the smaller the relative partial dispersion P d,C . is. So<br />

even if the main dispersion of the second element is strong<br />

enough to compensate the main dispersion of the first element,<br />

the partial dispersion will not be. This is why the yellow focal<br />

length is smaller than the one of red and blue. Therefore an<br />

apochromate with all colours in one focus did not yet exist<br />

when in the late 19 th century, Otto Schott appeared on the scene.<br />

Otto Schott could not override Kramers-Kronig. What he<br />

could do was to slightly scale up the index curve by increasing<br />

packing density. Thus, the average index and the main dispersion<br />

in the visible could be increased with neither moving the<br />

UV absorption edge nor affecting relative partial dispersion.<br />

For this purpose, he switched from silicates to borates.<br />

PbO·2B 2 O 3 , for instance, has a bigger band gap and a higher<br />

packing density than PbO·2SiO 2 [3]. Starting with PbO·2B 2 O 3 , he<br />

developed the borate flint S7 [3] (n D = 1.61, ν D = 44.3) that, with<br />

22 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


INTERNATIONAL year of glass<br />

ZOOM<br />

Figure 6: Three<br />

layers of glass<br />

in a waveguide<br />

for augmented<br />

reality (AR)<br />

glasses.<br />

Taken with<br />

permission<br />

from [6].<br />

respect to relative partial dispersion, perfectly<br />

fitted to the high-potassium crown<br />

glass O13 [3] (n D = 1.52, ν D = 58). This and<br />

other "special short flints" enabled the<br />

first apochromates, Fig. 3 (right). (In Otto<br />

Schott´s literature, the Fraunhofer line d<br />

is replaced with the nearby line D.)<br />

First, chemical resistivity was an issue<br />

both for the borate flints and the high<br />

potassium crown glass. One approach<br />

by Otto Schott to settle this was to mix<br />

the two glass formers B 2 O 3 and SiO 2 , a<br />

pioneering step in glass development.<br />

Today, for example, the special short flint<br />

N-KZFS11 and the crown glass SCHOTT<br />

N-BK7® are borosilicates – such as numerous<br />

other optical and technical glasses.<br />

Spherical Aberration: suppression requires<br />

high indices. Lens elements can<br />

easily be ground and polished by simple<br />

rotating devices [1], however, only spherical<br />

surfaces can thus be made. With<br />

them, the focus depends on the distance<br />

between rays and optical axis (longitudinal<br />

spherical aberration, Fig. 4). A second<br />

order calculation gives [1]:<br />

f = — R – — h2<br />

(5)<br />

n-1 2R<br />

So to suppress spherical aberration<br />

while maintaining f, a simultaneous increase<br />

of R and n is necessary. Due to<br />

Kramers-Kronig (correlation #1), this is<br />

especially challenging for low dispersion<br />

glasses.<br />

Again Otto Schott was to find the solution,<br />

being the first to melt barium-containing<br />

glasses in an optical quality. With a<br />

band gap of 6eV, much higher than the one<br />

of PbO, BaO is well suited for low dispersion<br />

glasses. Although Kramers-Kronig<br />

prevents an ultra-high index, a moderately<br />

high index is achieved by the high<br />

packing density of, e.g., glassy sanbornite<br />

BaO·2SiO 2 . Thus the barium crowns "BAK"<br />

as well as the (very) dense crowns "(S)SK"<br />

were launched. A later milestone<br />

Figure 7: FOV in AR glasses with different indices. Left: FOV with binocular<br />

vision. Centre: FOV with display glass, n = 1.5. Right: FOV for AR glass with n =<br />

1.6 (smallest FOV) up to n = 2 (largest FOV). Taken with permission from [6].<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 23


ZOOM<br />

INTERNATIONAL year of glass<br />

concerning high index and low dispersion was lanthanum glass<br />

(George W. Morey, [1]).<br />

Today´s high-end microscopes such as the ZEISS Axio<br />

Observer® offer sophisticated features like artificial-intelligence-based<br />

sample finders for biological samples to prevent<br />

them from the lasting illumination during a lengthy sample<br />

inspection by eye. The optical core is a high-end apochromate<br />

– with its roots going back to the extremely fruitful cooperation<br />

of Ernst Abbe, Carl Zeiss, and Otto Schott.<br />

Novel Optics<br />

Figure 8:<br />

Cross section<br />

of a photonic<br />

crystal fibre<br />

manufactured<br />

by Schott AG.<br />

"Lightguiding": key to the photonic revolution. Out of the<br />

numerous recent optical inventions, the most striking glass-related<br />

ones exploit the phenomenon of lightguiding. Already<br />

discovered in the 17th century by Johannes Kepler [4], total<br />

internal reflection had to wait until the 20th century with its first<br />

commercial use for illumination, imaging and communication.<br />

Transmission is crucial. In conventional optics, light has<br />

to pass through centimeters of material only. Glass fibres for<br />

telecommunication, on the contrary, have to be so free of impurities<br />

that one could look through a several kilometer thick<br />

plate made of that glass. Manufacturing is by chemical vapour<br />

deposition [5]. Index and dispersion also play an important role.<br />

The acceptance angle of a lightguide, i.e. the maximum angle<br />

that is compatible with total reflection, is given by<br />

sin(α) = √ — n 12 - n 2<br />

2<br />

(5)<br />

where n 1 is the core index and n 2 is the cladding index (see<br />

Fig. 5).<br />

The desired indices depend on the application. For telecommunication,<br />

a low acceptance angle is preferred. Light entering<br />

at different angles would take different paths and thus cause<br />

an unwanted broadening of optical pulses. So no high indices<br />

are needed. Core and cladding are usually made from vitreous<br />

silica with certain dopants [5].<br />

It is different for lightguiding in augmented reality (AR, [6]),<br />

Fig. 6. Here, the acceptance angle determines the field of view<br />

(FOV, [6]). The higher the index, the broader the field of view is.<br />

So high index glasses are required. Dispersion management is<br />

by different layers for different colours.<br />

Photonic Crystals and Meta-Materials: exploiting the wave<br />

nature of light. Although the principles of lightguiding can be<br />

explained with ray optics, the complex behaviour of, e.g., telecommunication<br />

fibres can only be understood considering the<br />

guided light as propagating modes, i.e. hybrid electromagnetic<br />

waves which are propagating along the fibre axis and standing<br />

waves in the perpendicular plane.<br />

The wave character becomes particularly important if the<br />

confinement of light to the core is caused by interference in the<br />

cladding. That may occur at structures with a crystal-like order,<br />

so-called photonic crystals (Fig. 8) or at disordered structures,<br />

as it is the case for lightguiding with Anderson-localization<br />

where lightguiding is due to the interference of scattered light<br />

with the scatter centres lying closely together [7].<br />

Photonic crystal fibres offer many different features, among<br />

them being special dispersion management for telecommunication,<br />

low-loss transport of laser power, and others [7].<br />

Nevertheless, photonic crystal fibres are only a small part<br />

of what is generally possible with photonic crystals, i.e. ordered<br />

structures where periodicities with the magnitude of the<br />

wavelength cause special effects. Even more striking effects<br />

are possible with sub-wavelength structures with which very<br />

peculiar phenomena may be generated, e.g., wave propagation<br />

and energy transport in opposite directions which is equivalent<br />

to a negative refractive index [7]. With respect to the highly<br />

sophisticated nanostructures involved, such materials will<br />

certainly not replace classical optical materials, but will offer<br />

highly welcome add-ons of the toolbox.<br />

Conclusion<br />

It is a long way from classical optical imaging to today´s optical<br />

applications like augmented reality. Nevertheless, glassmakers<br />

are all times confronted with similar issues concerning<br />

transmission, refractive index, and dispersion. This is due to<br />

the fact that said properties are inter-related by fundamental<br />

physical laws which prevent "once and for all times" solutions.<br />

On the other hand, these constraints are providing an ever-lasting<br />

challenge to find the limits of feasibility, employing all<br />

modern technologies like, e.g., nanostructuring.<br />

REFERENCES<br />

[1] U. Fotheringham et al., Optical Glass: Challenges From<br />

Optical Design, in: Encyclopedia of Materials: Technical<br />

Ceramics and Glasses, M. Pomeroy Editor-in-Chief, (Elsevier,<br />

Amsterdam, 2021)<br />

[2] https://www.schott.com/de-de/products/<br />

optical-glass-p1000267/downloads<br />

[3] U. Fotheringham, Opt. Mat. Express Feature Issue<br />

Celebrating Optical Glass - IYOG 2022, in press<br />

[4] Molecular Expressions: Science, Optics and You - Timeline -<br />

Johannes Kepler (fsu.edu)<br />

[5] U. Fotheringham, Glastechn. Ber. 62, 52-55(1989)<br />

[6] R. Sprengard, Inf. Disp. 36, 30-33 (2020)<br />

[7] Encyclopedia of Modern Optics, 2 nd edn., B.D. Guenther,<br />

D.G. Steel eds., Elsevier Amsterdam (2018).<br />

24 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


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<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 25


LABWORK<br />

Quantum entanglement in the lab :<br />

an experimental training platform<br />

for the second quantum revolution<br />

///////////////////////////////////////////////////////////////////////////////////////////////////<br />

Benjamin VEST 1 , Lionel JACUBOWIEZ 1<br />

1Université Paris-Saclay, Institut d’Optique Graduate School, CNRS, Laboratoire Charles Fabry, 91127 Palaiseau, France<br />

*lionel.jacubowiez@institutoptique.fr, benjamin.vest@institutoptique.fr<br />

https://doi.org/10.1051/photon/2022<strong>113</strong>26<br />

This is an Open Access article distributed under the terms of the<br />

Creative Commons Attribution License (http://creativecommons.org/<br />

licenses/by/4.0), which permits unrestricted use, distribution, and<br />

reproduction in any medium, provided the original work is properly<br />

cited.<br />

The recent and rapid progress in the field of quantum<br />

technologies stimulates developments of specific<br />

courses and experimental training for future engineers<br />

and scientists. We describe below the experimental<br />

setup developed at Institut d’Optique Graduate<br />

School for engineering and Master students. During<br />

a labwork session afternoon, students can study a<br />

source of polarization entangled state pairs of photons<br />

and perform an experimental violation of Bell’s<br />

inequalities. This emblematic experiment is one of<br />

the experiments dedicated to quantum photonics.<br />

It was built in 2005 in the LEnsE (the Laboratoire<br />

d’Enseignement Experimental) of the Institut d’Optique<br />

Graduate School and has been perfectly working for<br />

almost eighteen years already.<br />

Entangled states represent<br />

one of the most strikingly<br />

counter-intuitive features of<br />

quantum mechanics, and as such,<br />

are often held as a great example<br />

of what quantum world means.<br />

Before the experiments by Alain<br />

Aspect and his team at Institut<br />

d’Optique reporting Bell’s inequalities<br />

violation in the early 80s [1],<br />

decades of research have led to<br />

tremendous results revolutionizing<br />

our understanding of light-matter<br />

interaction. The first revolution of<br />

quantum physics has deep connections<br />

with the wave-particle-duality<br />

and the description of physical<br />

systems using the concept of wave<br />

functions. For instance, the process<br />

of carrier photogeneration<br />

by semiconducting devices is a direct<br />

consequence of the ability of<br />

quantum mechanics to explain the<br />

structure of matter and the optical<br />

properties of materials. As a consequence,<br />

it is reasonable to consider<br />

that many experimental labwork<br />

sessions in the LEnsE, dedicated<br />

to cameras and light detectors, are<br />

true quantum experiments!<br />

However, the term “quantum photonics”<br />

usually refers to the concepts<br />

that emerged and were popularized<br />

after a second quantum revolution.<br />

Starting from the Aspect<br />

experiments, this second quantum<br />

revolution is focused on the most<br />

surprising and counter-intuitive<br />

predictions of quantum mechanics<br />

whose manipulation can<br />

lead to the development of a new<br />

generation of sensors, quantum<br />

26 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


LABWORK<br />

communication schemes, simulators<br />

or quantum computing.<br />

A two-photon polarization<br />

entangled state<br />

Entangled states are a class of multi-particle<br />

states whose existence<br />

is predicted by quantum mechanics<br />

[2,3]. The state of the polarization<br />

entangled pairs of photons that<br />

we produce in the labwork experiment<br />

can be written as:<br />

|ψ 2ph = 1 — √<br />

— 2<br />

(|V I |V II + |H I |H II )<br />

This is a typical polarization entangled<br />

state where V and H refer to the vertical<br />

and horizontal direction of polarization<br />

and I and II refer to each photon<br />

of the pair.<br />

Why this entangled polarization state<br />

is so extraordinary? So strikingly<br />

counter-intuitive?<br />

To explore more in details the features<br />

exhibited by this two-photon entangled<br />

state in polarization, we will perform<br />

measurements on the polarization of<br />

each photon of the pair. Figure 1 below<br />

describes the classical polarization<br />

measurement setup that we use in<br />

our experiment.<br />

For the entangled state |ψ 2ph , whatever<br />

the direction of polarization, α , photon I is<br />

detected 50% of the time in state |V I α and<br />

is detected 50% of the time in state |H I α <br />

(the probabilities are : P (|V I α ) = P (|H I α )<br />

= 1/2). The same result would be obtained<br />

for photon II (P (|V I β ) = P (|H I β )<br />

= 1/2, whatever the direction of projection<br />

β is). So, in this entangled state, none<br />

of the photons of the pair has initially a<br />

defined polarization state and the measurement<br />

process attributes randomly<br />

the state |V I α or |H I α to the photon I.<br />

A question now arises: what does<br />

happen with the other photon of the<br />

pair, let us say photon II? The answer<br />

is hard to believe: it is not even necessary<br />

to measure the state of photon<br />

II! Quantum formalism tells us<br />

that the polarization state of photon<br />

II is identical to the polarization state<br />

already measured of photon I. In other<br />

words, if the same settings are selected<br />

for both channels (β = α), the second<br />

photon is systematically detected in<br />

the same state as photon I. The measurement<br />

outcomes on both channels<br />

I and II are perfectly correlated: that is,<br />

the conditional probabilities P (V II α |V I α )<br />

and P (H II α |H I α ) are equal to 1 whatever<br />

α is.<br />

So P (|V I α , |H II α ) = P (|V I α |V II α ) = 1/2<br />

and P (|H I α , |V II α ) = P (|V I α |H II α ) = 0<br />

and the degree of correlation of measurements<br />

between both channels is in this<br />

case : E = (α, α) = P (|V I α , |V II α ) + P (|H I α ,<br />

|H II α ) – P (|H I α , |V II α ) – P (|V I α , |H II α ) = 1<br />

Bell’s parameter<br />

More generally, we can choose to rotate<br />

the measurement basis on path I<br />

with an angle α and on path II by an<br />

angle β, different from α. Quantum<br />

formalism then predicts that the<br />

conditional probability of detection<br />

is expressed as:<br />

P (|V I α | |V I I β ) = cos 2 (α – β)<br />

which is maximal and equal to 1, as<br />

we already noticed, as long as α = β.<br />

The degree of correlation of the<br />

measurements between both channels<br />

is in this case :<br />

E (α , β ) = P (|V I α , |V I I β ) + P (|H I α ,|H I I β )<br />

– P (|H I α ,|V I I β ) – P (|V I α ,|H I I β )<br />

E (α , β ) = cos 2 (α , β ) – sin 2 (α , β ) =<br />

1 –2 cos 2 (α , β )<br />

So, with this experiment setup, we<br />

can measure the Bell’s parameter<br />

which is :<br />

S Bell = E (α , β ) + E (α', β )<br />

+ E (α', β') + E (α , β')<br />

The maximal value is obtained for<br />

α = 22.5°, α' = 45°, β = 45° and β' = 67.5° for<br />

which the Bell’s parameter is S Bell = 2√ – 2.<br />

Non-locality in<br />

quantum correlations<br />

We must however stress that the formalism<br />

of quantum mechanics has several<br />

counterintuitive (maybe<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 27


LABWORK<br />

even disturbing!) consequences.<br />

Let us recall that the measurement<br />

outcomes on photon I are<br />

uniformly distributed over states<br />

|V I α and |H I α , and that this property<br />

does not even depend on α.<br />

So, when considering the outcome<br />

of the first measurement occurring<br />

in the setup, one cannot<br />

assign any preferred direction to<br />

any photon whatsoever. The polarizer<br />

settings on both channels<br />

can be changed independently<br />

until the very last moment. Then,<br />

as soon as projection occurred<br />

on photon I, quantum formalism<br />

tells us that the state of photon II<br />

is also instantaneously projected<br />

and known with certainty. There<br />

is no need to explicitly perform<br />

a measurement on photon II: it<br />

Figure 1. Classical polarization measurement setup:<br />

Each channel is composed of a polarizing beam<br />

splitter (PBS) preceded by a half-wave plate (HWP)<br />

which allows one to choose the projection basis of<br />

the polarization measurements (α and β).<br />

becomes assigned to a specific<br />

state, not defined by a measurement<br />

of one of its own features, but<br />

via a measurement performed on<br />

another particle, possibly located at<br />

the opposite side of the universe! This<br />

instantaneous “spooky action at a<br />

distance” disrupts our understanding<br />

of “locality”.<br />

Figure 2. Experimental setup built in the LEnsE<br />

in 2005<br />

EPR paradox:<br />

The completeness<br />

of quantum mechanics<br />

in question<br />

Entangled states display correlations<br />

that seem to involve non-local<br />

influence between physically separated,<br />

non-interacting systems. This<br />

deeply troubled many physicists<br />

including Einstein, and led to the<br />

famous Einstein-Podolsky-Rosen<br />

(EPR) paper published in 1935 [4]. In<br />

this article, the authors imagined a<br />

similar situation as the one exemplified<br />

above in a famous thought experiment<br />

(“Gedankenexperiment”).<br />

But they also explicitly assumed that<br />

such spooky action at a distance was<br />

impossible, so that the quantum<br />

28 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


LABWORK<br />

It seems that Niels Bohr was deeply troubled<br />

by the EPR argument relying precisely on quantum<br />

formalism itself to show its incompleteness.<br />

He was convinced that if the “EPR” reasoning<br />

on reality and locality was correct, all of quantum<br />

physics would collapse.<br />

physics description failed at giving an appropriate<br />

understanding of the process.<br />

Einstein and his partners however believed<br />

that another theory, compatible<br />

with local reality (so called hidden variable<br />

theory or HVT), could explain<br />

the correlations of entangled states as<br />

predicted by quantum mechanics. This<br />

theory was yet to establish. The general<br />

idea behind local hidden variable<br />

theories is the following. It is assumed<br />

that the photon pairs have a new kind of<br />

physical property: for instance here, an<br />

identical "polarization property", shared<br />

by both photons and attributed to them<br />

via the pair-generation process, and<br />

labeled, say, by θ. Since θ is the same<br />

for both photons, it would explain why<br />

both photons of any pair are measured<br />

along the same direction whatever this<br />

direction is. And since it is established<br />

at the source, it is local: the photons carry<br />

θ with them at all time. The result of the<br />

measurement performed on each channel<br />

depends on the value of θ for the<br />

photon itself, and not on what happens<br />

to the other photon. θ is called a hidden<br />

variable, in the sense that it does not appear<br />

explicitly in the expression of the<br />

state, |ψ 2ph , in the quantum formalism.<br />

This tends to show that the wavefunction<br />

somehow “lacks” some of the information<br />

on the system. This is why it is<br />

said that the EPR paper and the hidden<br />

variable theories contradict the completeness<br />

of the quantum theory.<br />

It seems that Niels Bohr was deeply<br />

troubled by the EPR argument relying<br />

precisely on quantum formalism itself<br />

to show its incompleteness. He was<br />

convinced that if the “EPR” reasoning<br />

on reality and locality was correct, the<br />

whole quantum physics theory would<br />

collapse. Bohr defended the formalism<br />

of quantum mechanics by asserting that,<br />

for these entangled quantum states of<br />

several particles, one could not speak<br />

of the individual properties of each of<br />

the particles: thus, there are no hidden<br />

variables. Entangled particles definitely<br />

behave as a single object regardless of<br />

their separation distance.<br />

The debate between Bohr and Einstein<br />

lasted for more than twenty years until<br />

they both died. In fact, Einstein never<br />

contested the correctness of quantum<br />

physics predictions, but how quantum<br />

physics explained these predictions.<br />

Bell’s theorem<br />

and parameter<br />

But in 1965, surprising breakthrough, the<br />

Irish physicist John Bell showed that this<br />

debate could be settled experimentally<br />

[5]. He showed that if we measure the<br />

Bell’s parameter, S Bell , as defined before,<br />

assuming any local hidden variable hypothesis,<br />

its value is less than two.<br />

–2 < S Bell < 2<br />

These are the so-called Bell’s inequalities.<br />

In parallel, quantum physics predicts value<br />

of S Bell > 2 for specific choices of α, α',<br />

β and β' , with a maximal value of S Bell =<br />

2√ – 2. Entangled states are said to violate<br />

Bell’s inequalities.<br />

Since the two formalisms are not compatible,<br />

then who is right? Einstein or Bohr?<br />

An experimental test of Bell’s inequalities<br />

is thus to choose a conflictual set of<br />

measurements and to measure what is<br />

the value of Bell’s parameter, and see if it<br />

is compatible or not with a local hidden<br />

variable theory.<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 29


LABWORK<br />

An overview of the<br />

labwork setup<br />

This experimental setup was proposed<br />

in the early 2000’s [2,5]. What<br />

limited many experiments a few decades<br />

ago was the difficulty to create<br />

a bright source of photon pairs.<br />

A convenient way to proceed is to<br />

use a type I phase matching spontaneous<br />

parametric downconversion<br />

process in nonlinear crystals, see<br />

figures 2 and 3. The pump, a 60mW<br />

at 405nm blue InGaN laser diode, gives<br />

810nm entangled photons. We<br />

will come back later to the detailed<br />

description of the Bell’s state preparation.<br />

Downconverted photons are<br />

collected by two lenses (focal length:<br />

75mm, diameter: 12.5mm) at about<br />

one meter from the crystals and<br />

focused on single photon counting<br />

avalanche photodiodes. Filters at<br />

810nm, 10nm width, are placed just<br />

in front of each lens. Polarization is<br />

analysed by rotating the half wave<br />

plates in front of the polarization<br />

beam splitter cubes.<br />

Black plastic tubes prevent from<br />

stray light and protect single photon<br />

counting modules. For each detected<br />

single photon, these modules<br />

give a 25ns TTL pulse which is sent<br />

to a coincidence detector to ensure<br />

that the coincidences are measured<br />

between photons of the same downconverted<br />

pair. In our experiment, for<br />

Figure 3. Two-crystal downconversion source:<br />

The crystals are 0.5 mm thick and in contact<br />

face-to-face, while the pump beam is approximately<br />

1 mm in diameter.<br />

single detection rates of about<br />

23000 on each side, we detect a coincidence<br />

rate of about 1600 (that is<br />

1600 pairs of photons persecond).<br />

Bell state<br />

preparation<br />

The key of the setup is the preparation<br />

of a pure entangled state, one<br />

that will make sure that we can discriminate<br />

between hidden variable<br />

theories and quantum mechanics.<br />

We shall create photon pairs<br />

through a process that will indistinguishably<br />

generate either |H I |H I I <br />

or |V I |V I I in a superposition state<br />

(and not in a statistical mixture).<br />

To produce polarization entangled<br />

pairs of photons, we use two<br />

identical thin crystals, rotated by<br />

90° from each other about the pump<br />

beam direction (see figure 3). For<br />

a vertically polarized pump, the<br />

down-conversion process generates<br />

pairs of horizontally polarized<br />

photons in the first crystal; the second<br />

crystal has no more effect.<br />

For a horizontally polarized pump,<br />

the first crystal has no effect; the<br />

down-conversion process generates<br />

pairs of vertically polarized photons<br />

in the second crystal.<br />

|V pump → e iH |H I |H II <br />

and |H pump → e iV |V I |V II <br />

For a rectilinearly polarised pump<br />

at 45°, the pump photons state is<br />

written as:<br />

|ψ pump = 1 — √<br />

– 2<br />

(|V pump + |H pump)<br />

In this configuration, 45° polarized<br />

pump photons can down-convert in<br />

either crystal. But it is absolutely<br />

impossible to know in which crystal<br />

the photon pairs were created!<br />

By erasing this “which crystal information”,<br />

we ensure that the photon<br />

pairs are in the superposition state:<br />

|ψ 2ph = 1 — √<br />

– 2<br />

(|V I |V II + e i 0 |HI |H II )<br />

Where 0 is a phase which depends<br />

on many different parameters<br />

(wavelengths of pump and downconverted<br />

photons, for example),<br />

and is a direct consequence of the<br />

birefringence of the crystals.<br />

In practice, to get a pure Bell’s state,<br />

we pre-compensate this phase by<br />

placing a Babinet compensator in<br />

front of the pair of crystals. The role<br />

of the Babinet compensator is to introduce<br />

a relative phase between<br />

|H pump and |V pump:<br />

Babinet<br />

|ψ Pump = — 1 – (|V pump – e -i 0 |Hpump ),<br />

√ 2<br />

30 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


LABWORK<br />

The measurement of a Bell parameter is now<br />

routinely used with various quantum systems,<br />

in order to evaluate their performances in the context<br />

of quantum technologies.<br />

leading to a pure Bell’s state :<br />

|ψ EPR = 1 — √<br />

– 2<br />

(|V I |V II + |H I |H II ),<br />

For this state, the joint probability of<br />

detection in the V I<br />

45°<br />

|V II<br />

45°<br />

| configuration<br />

reaches a maximum. The Babinet<br />

compensator is adjusted while monitoring<br />

the coincidence rate until it<br />

reaches an optimum for α = β = 45°.<br />

Results<br />

The Bell parameter is measured by<br />

using a configuration of the four measurement<br />

basis that maximizes the deviation<br />

between local hidden variable<br />

theories and quantum mechanics. It is<br />

given by the angles α = 0°, β = 22.5°,<br />

α' = 45°, β' = 45°.<br />

In our experiment, we obtain S bell (α, α',<br />

β, β') = 2.48 with a standard deviation<br />

σ = 3.10 -3 . The result shows that we do<br />

not reach an ideal entanglement quality<br />

(S bell = 2√ – 2), but it clearly and unambiguously<br />

disagrees with any hidden<br />

variable local theory.<br />

Conclusion<br />

Since the eighties, the EPR paradox is no<br />

longer a “Gedankenexperiment”. Now,<br />

it has become a very exciting labwork<br />

for students. It also has recently taken<br />

another dimension: the measurement<br />

of a Bell parameter is now routinely<br />

used with various quantum systems, in<br />

order to evaluate their performances in<br />

the context of quantum technologies.<br />

This labwork therefore now echoes<br />

with other ambitions aiming at building<br />

more advanced experimental training<br />

platforms for the second quantum revolution.<br />

Talking about indistinguishability,<br />

the Lense has been proposing for<br />

now more than 8 years a labwork dedicated<br />

to the Hong-Ou-Mandel effect, a<br />

two-particle interference experiment<br />

allowing to quantify the indistinguishability<br />

of photons generated by<br />

a similar downconversion process.<br />

Another setup under construction will<br />

be dedicated to the study of nitrogen<br />

vacancy centres in diamond, and their<br />

behaviour as single photon sources.<br />

REFERENCES<br />

[1] A. Aspect, “Bell’s Theorem: The Naive View of an Experimentalist,” Quantum [Un]<br />

speakables, 119–153 (2002). https://doi.org/10.1007/978-3-662-05032-3_9.<br />

[2] D. Dehlinger, M. W. Mitchell, Am. J. Phys. 70, 903–910 (2002). https://doi.<br />

org/10.1119/1.1498860.<br />

[3] C. Fabre, <strong>Photoniques</strong> 107, 55-58 (2021) https://doi.org/10.1051/photon/202010755<br />

[4] A. Einstein, B. Podolsky, N. Rosen, Phys. Rev. 47, 777–780 (1935). https://doi.<br />

org/10.1103/PhysRev.47.777.<br />

[5] J. S. Bell, Phys. Phys. Fiz. 1, 195–200 (1964). https://doi.org/10.1103/<br />

PhysicsPhysiqueFizika.1.195.<br />

[6] D. Dehlinger, M. Mitchell, Am. J. Phys. 70, 898–902 (2002).<br />

https://doi.org/10.1119/1.1498859.<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 31


PIONEERING EXPERIMENT<br />

SURFACE plasmon imaging<br />

SURFACE PLASMON<br />

PROPAGATION IMAGING<br />

BY A PHOTON SCANNING<br />

TUNNELING MICROSCOPE<br />

///////////////////////////////////////////////////////////////////////////////////////////////////<br />

F. DE FORNEL 1, *, P. DAWSON 2 , L. SALOMON 1 , B. CLUZEL 1<br />

1<br />

Laboratoire Interdisciplinaire Carnot de Bourgogne, Université de Bourgogne, 9 Avenue Alain Savary, 21078 Dijon, France<br />

2<br />

Centre for Nanostructured Media, School of Mathematics and Physics, Queen's University, Belfast, BT7 1NN, UK<br />

*ffornel@u-bourgogne.fr<br />

This paper describes the first direct observation<br />

of surface plasmon propagation on a metallic thin<br />

film deposited on a glass slide, thus facilitating the<br />

first direct measurement of the propagation length.<br />

This was achieved using photon scanning tunneling<br />

microscopy (PSTM). Subsequently, near-field<br />

observations of the surface plasmon buried at the<br />

metal-glass interface, generated from a discontinuity<br />

in the metallic thin film, were reported.<br />

https://doi.org/10.1051/photon/2021<strong>113</strong>32<br />

In the 1990’s, near-field optical<br />

microscopies took off promising<br />

to become a unique tool<br />

for exploring optical phenomena<br />

at the nanoscale.<br />

At that time, the photon<br />

scanning tunneling microscope<br />

(PSTM) [1,2] which was the analog<br />

for photons of the electronic scanning<br />

tunneling microscope (STM)<br />

demonstrated these capabilities.<br />

Using this technique, it became<br />

possible to measure the optical near<br />

field in the vicinity of subwavelength<br />

structures illuminated under<br />

various conditions. Among them,<br />

the PSTM has proven to be a powerful<br />

tool for the study and the analysis<br />

of surface plasmons which are<br />

resonant electromagnetic modes<br />

associated with the collective oscillation<br />

of an electron plasma at<br />

the interface between a metal and<br />

a dielectric [3]. Indeed, for a thin<br />

film of silver deposited on glass, the<br />

metal-air surface plasmon excited<br />

in Kretschmann configuration [4]<br />

has an extension in air of a few<br />

hundred nanometers in the visible<br />

range, making it an ideal candidate<br />

for optical near-field measurement<br />

with a PSTM. In the seminal paper<br />

of Dawson et al [5], the propagation<br />

of a surface plasmon was shown for<br />

the first time and its damping was<br />

directly quantified by viewing its<br />

propagation length. These results<br />

were further completed by the demonstration<br />

of the contribution of<br />

32 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


SURFACE plasmon imaging<br />

PIONEERING EXPERIMENT<br />

a buried metal-glass plasmon in the<br />

near- field pictures thanks to successive<br />

improvement in near-field measurement<br />

techniques.<br />

DIRECT OBSERVATION OF THE<br />

METAL-AIR SURFACE PLASMON<br />

Figure 1 shows the schematic of the<br />

seminal experiment performed at<br />

the University of Bourgogne. A 50 nm<br />

thin silver film was illuminated by two<br />

Helium:Neon lasers in oblique incidence.<br />

A first, green one at λ 1 =543,5nm<br />

was unfocussed to yield a spot size on<br />

mm 2 scale on the silver film while the<br />

second one at λ 2 = 632.8 nm was tightly<br />

focused into a ~10 µm diameter spot at<br />

the silver film. The angle of incidence<br />

of the red beam was chosen so that it<br />

excited the silver-air surface plasmon<br />

by phase matching the parallel (to the<br />

sample interface) component of wavevector<br />

of the incident light to that of the<br />

surface plasmon. In plasmonics this<br />

phase matching technique is well known<br />

as the Kretschmann configuration [4].<br />

The angle of incidence of the green laser<br />

was likewise chosen to excite<br />

Figure 1. Schematic of the experiment: a silver film evaporated on a glass prism was<br />

illuminated by two lasers. The green one acts as a pilot for scanning a tapered optical fiber<br />

in the near-field of the silver film while the red one excites the silver-air surface plasmon<br />

in Kretschmann configuration.<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 33


PIONEERING EXPERIMENT<br />

SURFACE plasmon imaging<br />

a)<br />

b)<br />

surface plasmons at the silver-air interface<br />

at that wavelength. An optical<br />

probe, obtained by tapering an optical<br />

fiber, was brought into the optical<br />

near field of the metal film in order<br />

to ‘collect the surface waves’ (i.e. by<br />

scattering the surface-bound optical<br />

field of the surface plasmons to photons<br />

travelling up the tapered optical<br />

fiber) while scanning the metal film<br />

with help of a home-made stack of<br />

piezoelectric tubes.<br />

In this configuration, the nearfield<br />

probe simultaneously detects<br />

signals coming from the two lasers<br />

at 632.8 nm and 543.5 nm. A fiber optic<br />

coupler then separates the signal<br />

in two arms. On one arm, a spectral<br />

Figure 2. a) PSTM image of the optical near field intensity<br />

of the incident beam, λ 1 = 543.5 nm, on a simple prism<br />

illuminated under total internal reflection. b) PSTM<br />

image recorded at λ 2 = 632.8 nm at the surface plasmon<br />

excitation angle for red light on a section of the same<br />

prism covered by a 50nm thin silver film. The right side<br />

of the image displays a clear exponentially decaying tail<br />

explicitly demonstrating the propagation and damping<br />

of the surface plasmon. All images are 40 µm x 40 µm.<br />

Figure 3. a) Scheme of the experiment. A semiinfinite<br />

thin gold film of thickness h=55 nm is vacuum<br />

deposited onto a glass prism. The illumination is carried<br />

out at various incident angles θ, by a collimated laser<br />

beam preliminary linearly polarized. The optical signal<br />

is collected via the probe and a photomultiplier tube<br />

(PMT). b) PSTM image operating in a constant intensity<br />

mode for an angle of incidence of 52°<br />

filter selected the green laser which<br />

acts as a pilot for driving a feed-back<br />

loop allowing the probe to scan the<br />

surface without touching it. For this<br />

reason, the green laser spot is large<br />

(mm scale) in order to generate a<br />

surface intensity distribution on<br />

the topside of the silver film that is<br />

(near-) constant on the ~10µm scale<br />

of the surface plasmon propagation<br />

length. The green signal is used as<br />

the input signal for the feedback<br />

loop of the piezoelectric scanners<br />

to allow for scanning the silver film<br />

at a constant height. On the second<br />

arm, the red laser exciting the surface<br />

plasmon is filtered out and then<br />

sent to a photomultiplier while the<br />

a)<br />

b)<br />

34 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


SURFACE plasmon imaging<br />

PIONEERING EXPERIMENT<br />

This was the first direct observation of the<br />

propagation of a surface plasmon on top of a metal<br />

film by near- field imaging paving the way to many<br />

other achievements and realizations in this field and<br />

development of commercial near-field microscopes<br />

for studying the optical near-field at nanoscale.<br />

probe is scanning the surface. At 632.8<br />

nm, the typical images reported in [5]<br />

are displayed in Fig. 2. It shows the<br />

original near-field pictures obtained<br />

in the same conditions on a section<br />

of the glass slide without the silver<br />

film (Fig.2a) and with the silver film<br />

(Fig.2b). Without the silver film, the<br />

measured laser spot is approximately<br />

circular with a ~ 10 µm diameter, while<br />

with the silver film the right side of the<br />

imaged spot appears elongated with an<br />

SURFACE PLASMON POLARITON<br />

exponential decay directly mapping<br />

the surface plasmon excitation, propagation<br />

and attenuation.<br />

From the image of Fig. 2b) the<br />

propagation length was measured<br />

to be 13.6µm, which is less than that<br />

predicted for a thin silver film of this<br />

thickness. The difference was attributed<br />

to re-radiation of the surface<br />

plasmon back into the prism as it propagates,<br />

contamination of the silver<br />

surface with a thin, optically<br />

A surface plasmon polariton (SPP) is an electromagnetic excitation<br />

that propagates in a wave like fashion along the planar interface<br />

between a metal and a dielectric medium. Thus, a SPP is a surface<br />

electromagnetic wave, whose electromagnetic field is confined to<br />

the near vicinity and whose amplitude decays exponentially with<br />

increasing distance into each medium from the interface of the<br />

dielectric–metal interface. For a film deposited on glass, plasmons<br />

at each interface can exist.<br />

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these assemblies to produce parallel<br />

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<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 35


PIONEERING EXPERIMENT<br />

SURFACE plasmon imaging<br />

dissipative silver sulphide layer and<br />

a possible angular shift between<br />

the theoretical and actual angle of<br />

incidence. This was the first direct<br />

observation of the propagation of a<br />

surface plasmon on top of a metal<br />

film by near- field imaging paving the<br />

way to many other achievements and<br />

realizations in this field and the development<br />

of commercial near-field<br />

microscopes for studying the optical<br />

near-field at nanoscale.<br />

However a metallic thin film has<br />

two interfaces and further studies<br />

were then conducted to explore the<br />

surface plasmon buried at the metal-glass<br />

interface, which is not excited<br />

in Kretschmann configuration.<br />

BURIED SURFACE<br />

PLASMON OBSERVATION<br />

In this second experiment, a semi-infinite<br />

metallic film was deposited<br />

on glass prism as shown in<br />

Fig. 3. It is noteworthy that here,<br />

gold was preferred to silver to avoid<br />

sulfurization. Under collimated illumination,<br />

the edge of the metal<br />

film scatters the incident laser and<br />

generates both the metal-air and<br />

the metal-glass surface plasmons.<br />

First measurements in this configuration<br />

were reported in [6] which was<br />

employing the same laser for exciting<br />

surface plasmons as well as for driving<br />

the piezoelectronic scanners through<br />

a feedback loop. In this configuration,<br />

the height of the probe during the scan<br />

was modulated by the detected light<br />

intensity. Recorded near-field images<br />

showed both an exponential decay related<br />

to the propagation and damping<br />

of the gold:air surface plasmon and<br />

but also the presence of oscillations<br />

whose period corresponds to an interference<br />

between the incident light and<br />

the gold:air plasmon. These results<br />

were in very good agreement with numerical<br />

simulations. However, these<br />

latter also predicted that interferences<br />

between the glass-to-metal plasmon<br />

and the incident beam should also be<br />

visible in the measurements but was<br />

not observed experimentally. This was<br />

finally achieved by Brissinger et al. [7]<br />

Figure 4. IInterference periods Λ i in near-field<br />

images obtained in the experiment described in<br />

Fig.3a by varying the angle of incidence. Λ 1 and Λ 2<br />

are associated with the interferences of the incident<br />

wave and the plasmonic waves, respectively at the<br />

m/a and the m/g interfaces. Λ 3 is associated with<br />

the interferences between both surface plasmon<br />

waves and Λ 4 between the incident wave and the<br />

back reflection at the prism/air interface. The solid<br />

and dotted lines are the values from the numerical<br />

simulations and the crosses are recovered from the<br />

near-field optical images.<br />

If the photon scanning<br />

tunneling microscope in<br />

constant optical intensity<br />

mode is no longer used, it<br />

has nevertheless allowed the<br />

direct and first imaging of<br />

the surface plasmon excited<br />

at oblique incidence in<br />

Kretschmann configuration.<br />

REFERENCES<br />

[1] R.C. Reddic, R.J. Warmack, T.Ferrel, Phys. Rev. B 39,767-770 (1989)<br />

[2] D. Courjon., K. Saraeyeddine ., M. Spajer, Opt. Commun. 71, 23 (1989)<br />

[3] A. Zayats, I. Smolyaninov , A. Maradudin, Phys. Rep. 408, 131 – 314 (2005)<br />

[4] E. Krestschman, H. Rather, Z. Naturforsch, A23, 2135 (1968)<br />

[5] P. Dawson et al, Phys. Rev. Lett. 72, 2927 (1994)<br />

[6] L. Salomon et al., Phys. Rev B 65, 125409 (2002)<br />

[7] D. Brissinger et al, Opt. Express 19, 17750 (2011)<br />

many years after, benefiting from<br />

a shear-force feedback for driving<br />

the near-field probe with an improved<br />

reliability.<br />

At that point, the angle of incidence<br />

was tuned from 30° to 60° and both surface<br />

plasmons were finally visible in<br />

the near-field images. Interferences<br />

were in very good agreement with<br />

numerical predictions. It should be<br />

noted that the wavector of the buried<br />

surface plasmon, that of the metal:<br />

glass interface, was recovered experimentally<br />

(1.63±0.08) ω/c quantitatively<br />

compared to its theoretical value<br />

of 1.59ω/c.<br />

CONCLUSION<br />

If the photon scanning tunneling<br />

microscope in constant optical intensity<br />

mode is no longer used, it<br />

has nevertheless allowed the direct<br />

and first imaging of the surface plasmon<br />

excited at oblique incidence in<br />

Kretschmann configuration As such<br />

these experiments have paved the way<br />

to the emergence of plasmonics as<br />

an entire field of research which has<br />

enabled applications in optoelectronics,<br />

medicine, chemistry, or sensing<br />

to cite just a few. In addition, current<br />

improvements in the stability of feedback<br />

loops, piezoelectric scanners,<br />

nanotechnologies used for shaping<br />

near-field probes, as well as recent<br />

developments in laser technologies<br />

have allowed the near-field microscope<br />

to move beyond the walls of the<br />

laboratory and to become a standard<br />

imaging tool for materials science.<br />

36 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


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There is a strong impetus to transform<br />

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And – an application worth highlighting –<br />

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The transition frequency in optical<br />

clocks is on the order of hundreds of<br />

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or the ultraviolet region of the<br />

electromagnetic spectrum. Counting<br />

these optical frequencies is only possible<br />

using a frequency comb [1], a<br />

mode-locked laser with evenly spaced<br />

frequency modes within its optical spectrum.<br />

When referenced to a CW laser<br />

which is stabilized to a high-finesse<br />

optical cavity, the bandwidth of the<br />

comb lines narrows down to below 1<br />

Hertz [2], corresponding to a stability<br />

of 10 -15 or better. The newest generation<br />

of optical atomic clocks enabled<br />

by this technology reach an accuracy of<br />

10 -18 [3], two orders of magnitude higher<br />

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Menlo Systems' FC1500-Quantum is<br />

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frequency comb. It provides<br />

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The low phase noise obtained on the<br />

comb-disciplined CW lasers is essential<br />

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via optical fiber to the "physics package"<br />

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the necessary optics and electronics<br />

components and the atoms. Labs no longer<br />

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Figure: The hyperfine<br />

transitions in strontium (Sr)<br />

atoms with the ultra-narrow<br />

clock transition at 698.4 nm<br />

(upper part). A commercial<br />

FC1500-Quantum system for<br />

optical clock applications<br />

contains an ultra-stable laser<br />

transferring its spectral purity<br />

onto an optical frequency<br />

comb and all other lasers<br />

which are also locked to the<br />

comb (lower part).<br />

process of designing and building their<br />

own ultra-stable lasers. Eventually, the<br />

comb itself has two purposes: It acts as<br />

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frequency’s spectral purity to the microwave<br />

region, or to a different optical<br />

frequency [4].<br />

CONTACT:<br />

Menlo Systems GmbH<br />

Bunsenstraße 5<br />

82152 Martinsried, Germany<br />

Phone: +49 89 189166 0<br />

Fax: +49 89 189166 111<br />

sales@menlosystems.com<br />

www.menlosystems.com<br />

REFERENCES<br />

[1] J. Reichert et al., Opt. Commun. 172,<br />

59 (1999)<br />

[2] R. W. P. Drever et al., Appl. Phys. B. 31,<br />

97 (1983)<br />

[3] E. Oelker et al., Nat. Photonics 13,<br />

714 (2019)<br />

[4] M. Giunta et al., Nat. Photonics 14,<br />

44 (2020)<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 37


FOCUS<br />

OPTICAL FREQUENCY combs<br />

INTERFEROMETRY<br />

WITH OPTICAL FREQUENCY COMBS<br />

///////////////////////////////////////////////////////////////////////////////////////////////////<br />

Nathalie PICQUÉ 1,* , Theodor W. HÄNSCH 1,2<br />

1<br />

Max-Planck Institute of Quantum Optics, Garching, Germany<br />

2<br />

Ludwig-Maximilian University of Munich, Faculty of Physics, Munich, Germany<br />

*nathalie.picque@mpq.mpg.de<br />

https://doi.org/10.1051/photon/2021<strong>113</strong>38<br />

A<br />

frequency comb [1]<br />

is a spectrum of narrow<br />

evenly spaced<br />

laser lines, whose<br />

absolute frequency<br />

can be known within<br />

the accuracy of an atomic clock<br />

(Insert 1). Initially invented for precision<br />

frequency metrology in the<br />

simple hydrogen atom, frequency<br />

combs have become key to a variety<br />

of applications, from the generation<br />

of attosecond pulses to the calibration<br />

of astronomical spectrographs.<br />

They are enabling ground-breaking<br />

approaches to interferometry with applications<br />

as diverse as spectroscopy<br />

[2], distance metrology [3], or holography<br />

[4]. This short article recounts the<br />

principle and applications of frequency<br />

comb interferometry.<br />

FREQUENCY COMBS<br />

AND INTERFEROMETRY<br />

Early on, frequency combs have been<br />

coupled to known interferometers.<br />

A frequency comb, a spectrum of equidistant<br />

phase-coherent laser lines, can be harnessed for<br />

new approaches to interferometry. The dual-comb<br />

interferometer exploits the time-domain interference<br />

between two combs of slightly different line spacing.<br />

The instrument, which performs direct frequency<br />

measurements over a broad spectral bandwidth,<br />

opens up new perspectives in applications such as<br />

spectroscopy, distance metrology or holography.<br />

For example, if a frequency comb<br />

is used as a light source before a<br />

scanning Michelson interferometer,<br />

Fourier transform spectroscopy<br />

sees its measurement speed,<br />

sensitivity precision and accuracy<br />

dramatically improved. Distance<br />

measurements using a spectrally-dispersed<br />

static Michelson interferometer<br />

-or a scanning Michelson<br />

interferometer- benefits from the<br />

many comb lines for improved precision<br />

and large ambiguity range.<br />

A comb of narrow line spacing can<br />

be frequency filtered in a Fabry<br />

interferometer, of matching but<br />

larger free spectral range, to generate<br />

a comb of large repetition frequency,<br />

suited to the calibration of<br />

astronomical spectrographs. The<br />

Fabry-Pérot resonator can also be<br />

used as an enhancement cavity, for<br />

extreme-ultraviolet high-harmonic<br />

generation or for absorption<br />

spectroscopy with long absorption<br />

paths.<br />

DUAL-COMB INTERFEROMETERS<br />

More interestingly, frequency<br />

combs have enabled a new class of<br />

interferometers, called dual-comb<br />

interferometers. Two frequency<br />

comb generators emit trains of<br />

pulses at slightly different repetition<br />

frequencies, f rep and f rep +Δ f rep ,<br />

respectively. The two beams of the<br />

two combs are combined on a beam<br />

splitter and their interference is<br />

measured on a fast photodetector as<br />

a function of time. In the time domain<br />

(Fig.1a), the pulses from one<br />

laser walk through the pulses from<br />

the second laser, with a time separation<br />

that automatically increments<br />

from pulse pair to pulse pair by an<br />

amount Δ f rep / f rep<br />

2<br />

(e.g. 10 - 14 s). This<br />

way, optical delays from 0 to 1/f rep<br />

are repetitively scanned without<br />

moving parts. Akin to a sampling<br />

oscilloscope, the periodic optical<br />

waveforms are stretched in time<br />

by a factor f rep /Δf rep (e.g. 10 6 ), and<br />

they can be electronically recorded<br />

38 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


OPTICAL FREQUENCY combs<br />

FOCUS<br />

and digitally processed. In the frequency<br />

domain (Fig.1b), pairs of<br />

optical comb lines, one from each<br />

comb, produce radio-frequency<br />

beat notes on the detector, forming<br />

a frequency comb of line spacing<br />

Δf rep in the radio frequency domain.<br />

Optical frequencies nf rep +f 0 are thus<br />

down-converted into radio frequencies<br />

nΔf rep +Δf 0 .<br />

The principle of dual-comb<br />

interferometry may be reminiscent<br />

of that of asynchronous<br />

optical sampling. A significant<br />

difference, though, is that mutual<br />

coherence between the two combs<br />

is required for an interferometric<br />

measurement. As a rule of thumb,<br />

many applications require a relative<br />

stability on the order of λ/100<br />

to achieve high fringe contrast. At a<br />

wavelength of 1 µm, this means that<br />

the timing jitter between pairs of<br />

pulses must be kept smaller than 30<br />

as. Learning how to control and minimize<br />

the relative timing and phase<br />

fluctuations between two frequency<br />

comb generators has been at the center<br />

of significant efforts in the early<br />

days of dual-comb interferometry.<br />

A number of solutions, of various<br />

complexity and performance, now<br />

enable to experimentally maintain<br />

mutual coherence and/or to compensate<br />

for the (residual) fluctuations<br />

through analog or digital processing.<br />

Experimentally, coherent averaging<br />

over more than half an hour<br />

has become feasible, illustrating the<br />

degree of control achieved for a dualcomb<br />

system.<br />

Figure 1. a. Time-domain principle<br />

of dual-comb interferometry (in<br />

the situation where an absorbing<br />

sample is in the beam path of<br />

comb 1). b. Frequency-domain<br />

principle c. Sketch of a typical dualcomb<br />

spectrometer. c.: Adapted<br />

from "Mid-IR Spectroscopic<br />

Sensing," Optics & Photonics News<br />

30(6), 26-33 (2019). https://doi.<br />

org/10.1364/OPN.30.6.000026<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 39


FOCUS<br />

OPTICAL FREQUENCY combs<br />

FREQUENCY COMB<br />

1/f rep<br />

φ<br />

A frequency comb, a spectrum of<br />

equidistant phase-coherent spectral<br />

lines, is commonly generated by<br />

a mode-locked laser. Such a laser<br />

emits a periodic train of pulses at a<br />

frequency f rep . The periodicity applies<br />

not only to the pulse envelopes, but to<br />

the whole electric field of the pulses,<br />

including their optical phase, apart<br />

from a reproducible slip φ of the<br />

phase of the electromagnetic carrierwave<br />

relative to the pulse envelope<br />

from pulse to pulse. Such phase slips<br />

occur in a laser owing to dispersion<br />

in the cavity. As a consequence, the<br />

frequency f n of a comb line writes:<br />

f n = n f rep + f 0 where n is an integer and<br />

f 0 = f rep φ/ 2π is the carrier-envelope<br />

offset frequency. Both f rep and f 0 can<br />

be measured and controlled against<br />

an atomic clock. Therefore, frequency<br />

combs act like rulers in frequency<br />

space that can for instance be used to<br />

measure a large separation between<br />

two different optical frequencies in<br />

terms of the countable signal of the<br />

pulse repetition frequency. Frequency<br />

combs can conveniently link optical<br />

and microwave frequencies and<br />

enable absolute measurements of<br />

any frequency. Frequency combs have<br />

revolutionized the way the frequency<br />

of light is measured and are now<br />

common equipment in all frequency<br />

metrology-oriented laboratories.<br />

They have paved the way for the<br />

creation of all-optical clocks with<br />

a precision that approaches the<br />

10 -18 level.<br />

2φ<br />

f rep<br />

nf rep +f 0<br />

time<br />

frequency<br />

Owing to the absence of moving<br />

parts, one of the first features of dualcomb<br />

interferometers that attracted<br />

interest has been the ability to perform<br />

fast measurements. Moreover, the sensitivity<br />

is further enhanced. is further<br />

enhanced by the use of coherent light<br />

sources. Remarkably, a dual-comb<br />

interferometer can simulate a mirror<br />

moving at 10 km.s -1 , the escape velocity<br />

from earth. The beat notes between<br />

pairs of comb lines are mapped in<br />

the radio-frequency domain where<br />

the 1/f noise in the detector signal can<br />

be greatly reduced, and a million-fold<br />

improvement in the acquisition speed<br />

of a spectrum has been demonstrated.<br />

Furthermore, all the spectral elements<br />

are simultaneously measured on a<br />

single photodetector, like in other interferential<br />

spectrometers. This multiplexed<br />

recording grants excellent<br />

overall consistency of the spectral<br />

measurements and applicability in<br />

any spectral regions. As research progressed,<br />

other distinguishing assets<br />

have been highlighted, offering interferometry<br />

a unique and novel host of<br />

powerful features, which are summarized<br />

below for the key applications.<br />

DUAL-COMB SPECTROSCOPY<br />

The main application of dual-comb<br />

interferometers has been spectroscopy<br />

over broad spectral bandwidths, in<br />

particular of molecules [2]. Dual-comb<br />

spectroscopy is a new form of Fourier<br />

transform spectroscopy, which has<br />

been over the past 50 years the overriding<br />

tool in molecular spectroscopy<br />

and analytical chemistry. If a sample is<br />

present on the beam path of one of the<br />

combs (Fig.1c), the interference signal<br />

will record the signature of the absorption<br />

and dispersion experienced by<br />

the sample. The dual-comb spectrometer<br />

mimics a scanning Michelson<br />

interferometer by sampling the freeinduction<br />

of the molecules over the<br />

range of optical delays. One uses then<br />

a harmonic-analysis tool, the Fourier<br />

transformation, to get the spectrum.<br />

In a single recording, the spectrum is<br />

sampled by the discrete comb lines<br />

and therefore the spectral resolution<br />

is limited to the comb line spacing<br />

f rep . As most combs can be precisely<br />

controlled, it is however possible to<br />

measure a sequence of spectra with<br />

different comb-line positions and to<br />

interleave the spectra a posteriori to<br />

reach a resolution ultimately limited<br />

by the width of the optical comb lines.<br />

Initially developed in the near-infrared<br />

spectral region, where frequency<br />

comb generators are conveniently<br />

available, dual-comb spectroscopy is<br />

now efficient in the mid-infrared spectral<br />

region at wavelengths as long as<br />

5 µm (Fig. 2). It is emerging at longer<br />

wavelengths in the mid-infrared and<br />

THz ranges and at shorter wavelengths<br />

in the visible range. The ultraviolet domain<br />

is still mostly unexplored, due to<br />

outstanding instrumental challenges<br />

for generating low-noise frequency<br />

combs of a broad span and implementing<br />

ultra-stable interferometers<br />

at short-wavelengths.<br />

To broadband spectroscopy, dualcomb<br />

interferometers add the remarkable<br />

features of the interrogation<br />

of the sample by laser lines of narrow<br />

width which provides a negligible<br />

contribution of the instrumental lineshape,<br />

as well as the calibration of the<br />

frequency scale within the accuracy<br />

of an atomic clock. These features<br />

are not available from any dual-comb<br />

interferometers though. They derive<br />

from the use of frequency combs of<br />

narrow and stable optical lines, referenced<br />

to a radio-frequency clock or to<br />

an ultra-stable optical frequency standard.<br />

Initially, it was not clear which<br />

light sources should be used and a variety<br />

of comb generators have been<br />

tested, from the metrology-grade<br />

fiber mode-locked lasers stabilized to<br />

accurate optical references to simple<br />

electro-optic modulators or quantum<br />

cascade lasers that are free-running.<br />

Over the years, the fiber-laser technology<br />

has considerably evolved towards<br />

ease of use, compactness, low noise<br />

and ultra-high stability. Fiber laser<br />

have become the most suited tools for<br />

realizing the potential of dual-comb interferometry.<br />

Free-running frequency<br />

combs do not enable to benefit from<br />

40 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


OPTICAL FREQUENCY combs<br />

FOCUS<br />

the above-mentioned advantages,<br />

although they might still be valuable<br />

tools in some niche applications.<br />

Although linear absorption spectroscopy<br />

has been predominantly<br />

explored, frequency combs synthesizers<br />

based on mode-locked lasers<br />

involve intense ultrashort pulses that<br />

can generate nonlinear phenomena at<br />

the sample. Using this, various schemes<br />

of nonlinear Raman spectroscopy<br />

and imaging and of Doppler-free<br />

two-photon excitation spectroscopy<br />

[5] have open up new opportunities<br />

for nonlinear spectroscopy over broad<br />

spans. One can expect that this line of<br />

research will develop further in the<br />

near future, owing to the progress in<br />

high-power laser amplifiers at high<br />

repetition frequency. Finally, the system<br />

is not limited to two frequency<br />

combs and recent proof-of-principle<br />

demonstrations explore the intriguing<br />

potential of using three combs<br />

for multidimensional spectroscopy,<br />

such as photon echoes [6].<br />

DUAL-COMB RANGING<br />

AND HOLOGRAPHY<br />

Another successful application of<br />

dual-comb interferometers involves<br />

distance measurements and<br />

ranging [3]. The dual-comb scheme<br />

combines the time-of-flight and interferometric<br />

approaches to deliver<br />

absolute distance measurements<br />

over an extended ambiguity range.<br />

One of the most exciting recent<br />

Figure 2. Mid-infrared<br />

experimental dualcomb<br />

spectrum,<br />

shown with different<br />

magnifications. (a.-c.)<br />

82000 comb lines<br />

spaced by 100 MHz,<br />

centered at 92 THz<br />

(3.2 µm), were<br />

measured within<br />

29 minutes. In b.<br />

an absorption<br />

transition of ethylene<br />

attenuates the comb<br />

lines. Reproduced<br />

from “Mid-infrared<br />

feed-forward dualcomb<br />

spectroscopy,”<br />

Proc. Natl. Acad.<br />

Sci. USA 116, 34549<br />

(2019). https://<br />

doi.org/10.1073/<br />

pnas.1819082116<br />

trends, though, has been to replace<br />

the single photodetector by a camera<br />

sensor. As many spectra as there are<br />

detector pixels can be simultaneously<br />

measured. Dual-comb interferometers<br />

move digital holography<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 41


FOCUS<br />

OPTICAL FREQUENCY combs<br />

forward by recording simultaneously<br />

thousands of holograms [4], one per<br />

comb line (Fig.3), and they show an<br />

intriguing potential for reaching new<br />

frontiers in scan-free wavefront reconstruction.<br />

By digital processing,<br />

each hologram provides a 3-dimensional<br />

image of the scene, where the<br />

focusing distance can be chosen at<br />

will. Combining all these holograms<br />

renders the geometrical shape of the<br />

3-dimensional object with very high<br />

precision and without ambiguity.<br />

At the same time, other diagnostics<br />

can be performed by the frequency<br />

combs: in the first proof of concept,<br />

molecule-selective imaging of a<br />

cloud of ammonia vapor was simultaneously<br />

demonstrated.<br />

CONCLUSION<br />

Dual-comb interferometry has been<br />

developed over the past 15 years and<br />

now involves a vibrant research community<br />

of more than 200 research<br />

groups. The dual-comb interferometer<br />

provides a unique combination<br />

of broad-spectral-bandwidth, long<br />

temporal coherence, absence of<br />

moving parts and multi-heterodyne<br />

read-out which offers interferometry<br />

a revolutionary host of features –<br />

frequency multiplexing, resolution,<br />

accuracy, precision, speed. Other<br />

Figure 3: In dual-comb holography, as<br />

many holograms as there are comb lines<br />

are generated.<br />

emerging applications include analog-to-digital<br />

conversion, two-way<br />

time and frequency transfer, vibrometry,<br />

etc.<br />

Excitingly, the technique is still<br />

far from realizing its full potential. A<br />

remarkable difference with respect<br />

to other types of interferometers is<br />

that the dual-comb interferometer<br />

performs direct time/frequency<br />

measurements. With a dispersive<br />

or interferential instrument, the<br />

resolving power is the ratio of the<br />

maximum path difference to the<br />

wavelength, hence the bulky instruments<br />

for high resolution. With<br />

REFERENCES<br />

a dual-comb interferometer, it becomes<br />

the ratio of the maximum<br />

optical retardation to the period of<br />

the optical wave. Dual-comb spectroscopy<br />

is therefore the only technique<br />

that can, for any spans and any<br />

spacing, potentially reach a resolution<br />

equal to the comb line spacing,<br />

freed from geometric limitations<br />

and aberrations. This apparently<br />

simple but fundamental distinction,<br />

first pointed out in [2], has not<br />

been exploited yet in experiments<br />

that would go significantly beyond<br />

the state of the art. On an applied<br />

touch, the path is open to integrated<br />

chip-scale ultra-miniaturized devices<br />

that combine high resolution<br />

and broad spectral bandwidth.<br />

Using III-V-on-silicon mode-locked<br />

lasers in the telecommunication<br />

region, an on-chip spectroscopy laboratory<br />

for gas sensing is already<br />

underway using battery-operated<br />

devices of a footprint smaller than<br />

1 mm 2 [7]. The most exciting prospect<br />

is nevertheless that of merging<br />

frequency metrology and broadband<br />

spectroscopy: with Doppler-free<br />

dual-comb spectroscopy, the envisioned<br />

improvement in accuracy is<br />

expected similar to that achieved in<br />

the 1990s when going from optical<br />

wavelength metrology to frequency<br />

measurements. As the technique is<br />

able to measure very faint signals,<br />

down to the single-photon level,<br />

single atoms and molecules may<br />

become observable over a broad<br />

span with an unmatched precision,<br />

opening up new strategies for tests<br />

of fundamental physics.<br />

[1] T. Udem, R. Holzwarth, T.W. Hänsch, Nature 416, 233 (2002)<br />

[2] N. Picqué, T.W. Hänsch, Nat. Photon. 13, 146 (2019)<br />

[3] I. Coddington, W.C. Swann, L. Nenadovic et al. Nat. Photon. 3, 351 (2009)<br />

[4] E. Vicentini, Z. Wang, K. Van Gasse et al. Nat. Photon. 15, 890 (2021)<br />

[5] S.A. Meek, A. Hipke, G. Guelachvili et al. Opt. Lett. 43, 162 (2018)<br />

[6] J.W. Kim, J. Jeon, T.H. Yoon et al., J. Opt. Soc. Am. B 39, 934 (2022)<br />

[7] K. Van Gasse, Z. Chen, E. Vicentini, et al. preprint at arXiv:2006.15<strong>113</strong> (2020)<br />

42 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


OPTICAL FREQUENCY combs<br />

FOCUS<br />

OPTICAL FREQUENCY<br />

COMBS FOR<br />

ATOMIC CLOCKS<br />

AND CONTINENTAL<br />

FREQUENCY<br />

DISSEMINATION<br />

/////////////////////////////////////////////////////////////////<br />

Rodolphe LE TARGAT*, Paul-Eric POTTIE, Yann LE COQ<br />

LNE-SYRTE, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université,<br />

61 Avenue de l’Observatoire, F-75014, Paris, France<br />

*Rodolphe.LeTargat@obspm.fr<br />

https://doi.org/10.1051/photon/2021<strong>113</strong>43<br />

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0),<br />

which permits unrestricted use, distribution, and reproduction in any medium, provided<br />

the original work is properly cited.<br />

Nearly 25 years ago, Optical<br />

Frequency Combs (OFCs)<br />

have revolutionized practically<br />

from one day to the<br />

next the metrology of optical<br />

frequencies. Before that, only<br />

a few labs in the world could<br />

connect the optical (~10 15 Hz)<br />

and the microwave (~10 10 Hz)<br />

domains, at the price of the<br />

complex operation of a chain of multiple non-linear frequency<br />

conversions. In contrast, OFCs provided a tabletop<br />

instrument, compact, reliable and operable by a single<br />

scientist. Unmistakeable sign: only a few years had passed<br />

before pioneering inventors of OFCs Theodor Hänsch and<br />

John Hall were awarded the 2005 Nobel prize in Physics,<br />

together with Roy Glauber.<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 43


FOCUS<br />

OPTICAL FREQUENCY combs<br />

The principle of operation<br />

relies on a femtosecond<br />

pulsed laser,<br />

featuring a spectrum<br />

of typically ~100 000<br />

phase-locked modes<br />

contributing simultaneously. The<br />

field can therefore be defined as:<br />

iφn (t)<br />

E comb (t) = ∑E n e<br />

n<br />

The average value of each phase<br />

φ n (t) can be described by 2π(nf rep<br />

+ f 0 )t + φ n (0), where f rep is the repetition<br />

rate, f 0 the offset frequency,<br />

n an integer number and φ n (0) a<br />

mode-dependent offset . The Fourier<br />

transform of this field shows that a<br />

comb is strictly equivalent to a ruler<br />

in the frequency space: while f 0<br />

is the offset of the first tooth of the<br />

ruler, f rep is the difference between<br />

adjacent teeth. Very importantly, the<br />

coherence is preserved throughout<br />

the whole spectrum, which makes<br />

it a unique tool to connect reliably<br />

very different spectral domains.<br />

Beatnotes between an oscillator at<br />

ν osc and the comb feature a frequency<br />

at f osc = ν osc - n osc f rep - f 0 , which leads<br />

to a complete determination of ν osc<br />

provided parameters f osc , n osc , f rep and<br />

f 0 are measured accurately.<br />

The advent of OFCs renewed<br />

considerably the interest of the Time<br />

and Frequency community in the<br />

metrology of optical atomic transitions.<br />

Even though the definition of<br />

the SI second had been based on the<br />

hyperfine transition of Cs since 1967,<br />

researchers early realized that the use<br />

of atomic transitions in the optical<br />

domain would dwarf radically most<br />

of possible systematic shifts affecting<br />

clock frequencies. Nevertheless,<br />

if single ion clocks had been under<br />

development since the early 80’s, the<br />

very cumbersome connection to the SI<br />

second was considerably hindering the<br />

perspective of a new definition. OFCs<br />

changed completely this perspective,<br />

and it is about at the same time, in 2003,<br />

that a researcher from the University<br />

of Tokyo, Hidetoshi Katori, proposed<br />

a scheme allowing the trapping and<br />

high resolution spectroscopy of many<br />

neutral atoms simultaneously. The race<br />

between optical clocks based either<br />

on single ions or neutral atoms had<br />

started and is still ongoing today: with<br />

published uncertainties down to 1×10 -18<br />

or below, instruments operated notably<br />

with Sr, Yb, Hg, Yb + , Al + or Sr +<br />

have outperformed even state-of-theart<br />

Cs clocks by more than 2 orders of<br />

magnitude. OFCs are used to compare<br />

optical clocks either to the SI second<br />

or directly one with another: the span<br />

of the comb spectrum is so large that<br />

it allows comparing clocks that are<br />

hundreds of nanometers apart. In the<br />

perspective of the roadmap for a new<br />

definition the second, aiming at 2026,<br />

possible contenders to new primary<br />

and secondary representations of the<br />

SI second are thus compared frequently<br />

and reliably in order to progressively<br />

refine, year after year, the knowledge<br />

of their frequency ratios.<br />

Progressively, the technology supporting<br />

OFCs improved and industrial<br />

devices became available. If the<br />

original mode-locked sources were<br />

Titanium-Sapphire lasers, they often<br />

missed the reliability necessary to<br />

measurements bound to last days, if<br />

not months. The alternative offered<br />

by fiber lasers in the near infrared<br />

region soon released this constraint:<br />

erbium-doped fiber laser based OFCs<br />

notably offer a mode-lock so reliable<br />

that a year of continuous operation is<br />

Figure 1. Architecture of atomic clocks,<br />

oscillators and frequency combs at SYRTE. The<br />

three operational OFCs act as a bridge between<br />

microwave and optical oscillators, probing<br />

respectively the SYRTE microwave fountains<br />

and optical lattice clocks.<br />

not an issue. More recently, research<br />

on compact combs based on micro-resonators<br />

or semiconductor systems<br />

has raised a strong interest in the community.<br />

Despite their low power and<br />

high repetition rate, making notably<br />

the measurement of f 0 challenging, the<br />

potential of devices that could be easily<br />

installed in a large range of academic<br />

or industrial applications is very appealing.<br />

Generally, the technical progress<br />

opened the door to contributions to a<br />

large variety of scientific and technical<br />

fields, way beyond frequency metrology,<br />

as detailed in reference [1]. Striking<br />

applications were for example published<br />

in molecular spectroscopy (dualcomb<br />

spectroscopy, analysis of gas<br />

sample to track pollution, analysis of<br />

human breath), astronomy (calibration<br />

of spectrograph), or distance measurements<br />

(laser ranging).<br />

At SYRTE (Systèmes de Référence<br />

Temps-Espace), the French National<br />

Metrology Institute for Time and<br />

Frequency, OFCs are used on the one<br />

hand for accurate and high resolution<br />

frequency metrology and on the<br />

other hand for the transfer of spectral<br />

purity from one frequency domain to<br />

another. In the following sections, we<br />

describe how this is applied to atomic<br />

clocks comparisons, to the construction<br />

of very low noise sources in the<br />

optical and microwave domains and<br />

to the dissemination of frequency standards<br />

on national and even international<br />

distances.<br />

ACCURATE AND HIGH RESOLUTION<br />

ATOMIC CLOCK COMPARISONS<br />

In the last 30 years, the SYRTE<br />

teams have developed and improved<br />

an ensemble of seven atomic<br />

44 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


OPTICAL FREQUENCY combs<br />

FOCUS<br />

Figure 2. Spectral coverage of the SYRTE combs architecture. All the relevant laser sources<br />

can be counted by at least two of the three OFCs. The connection to the 1542 nm laser<br />

is essential for the referencing of the two Er combs and of the REFIMEVE network.<br />

clocks strongly contributing to the accuracy<br />

of international timescales UTC<br />

(Coordinated Universal Time) and TAI<br />

(Temps Atomique International), and<br />

to the SI second monthly calculated<br />

by the BIPM (Bureau International des<br />

Poids et Mesures). This clock ensemble<br />

includes four microwave fountains,<br />

three based on cesium and one on rubidium,<br />

all featuring an accuracy of a<br />

few 10 -16 and regularly contributing to<br />

the steering of TAI. In addition, we are<br />

developing three optical lattice clocks<br />

operated with strontium or mercury<br />

that reach an uncertainty of a few<br />

10 -17 and already provided calibrations<br />

reports to the BIPM. This is one of the<br />

most complete sets of clocks existing in<br />

the world, and in order to compare frequently<br />

all these instruments, we have<br />

developed an ensemble of three operational<br />

OFCs. The goal of this redundancy<br />

is twofold: ensure the accuracy of the<br />

measurements, and evaluate the stability<br />

of the comparisons (figure 1)<br />

Our architecture relies on two Erbium<br />

doped fiber laser based OFCs (Menlo<br />

Systems, FC1500) featuring a spectrum<br />

in the near infrared, spanning from<br />

1 µm to 2 µm after broadening. This<br />

allows a straightforward connection to<br />

the telecommunication bands around<br />

1.5 µm, but does not permit to address<br />

directly all optical clock transitions<br />

(typically between 200 and 800 nm).<br />

Modules doubling the frequency of the<br />

combs in specific spectral windows are<br />

therefore necessary, for instance to<br />

generate teeth at 698 nm and 813 nm<br />

to connect respectively the strontium<br />

clock and lattice lasers (figures 2 and 3).<br />

This is complemented by a former generation<br />

titanium-sapphire laser based<br />

OFC, with a spectrum after broadening<br />

(500 nm to 1.1 µm) enabling the<br />

direct comparison of all SYRTE optical<br />

clocks. We chose to phase-lock all our<br />

frequency combs to a cw ultrastable<br />

laser (frequency instability below<br />

10 -15 between 0.1 and 1000 s timescales)<br />

in order to reach the so-called narrow<br />

linewidth regime: this ultrastability is<br />

transferred to each tooth of the comb,<br />

which leads to beatnotes with external<br />

oscillators that can be filtered in a narrow<br />

band. After mixing out f 0 from all the<br />

beatnotes f osc , we effectively generate a<br />

virtual comb at f 0 = 0 after isolating the RF<br />

single tone at ν osc - n osc f rep , thus rendering<br />

every following measurement insensitive<br />

to f 0 . From this point, phase-locking<br />

a single beatnote between the comb and<br />

an ultrastable laser by applying feedback<br />

to the optical length of the femtosecond<br />

laser cavity, so as to keep f osc - n osc f rep<br />

constant, is sufficient to ‘freeze’ entirely<br />

f rep and therefore the position of the<br />

comb in frequency domain. Comparing<br />

the frequency of the resulting f rep signal<br />

(in the RF or microwave domain and<br />

easily obtained by photodetection of<br />

the pulse train emitted by the femtosecond<br />

laser) with signals referenced to<br />

microwave frequency standards<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 45


FOCUS<br />

OPTICAL FREQUENCY combs<br />

(atomic fountain clocks in particular)<br />

and to the SI second produces a<br />

high-precision measurement of the<br />

absolute frequency of optical clocks.<br />

Furthermore, by appropriate<br />

arithmetic combination of the various<br />

signals involved, it is even possible<br />

to extract directly the frequency<br />

ratio between two optical clocks without<br />

involvement of microwave standards<br />

and even independent of the<br />

residual noise of the OFC itself! [2]<br />

REFIMEVE FIBER NETWORK<br />

AND DISSEMINATION OF AN<br />

ACCURATE 1542 NM REFERENCE<br />

The research infrastructure<br />

REFIMEVE 1 is a network of optical<br />

fibers dedicated to the ultra-low noise<br />

dissemination of an ultrastable carrier<br />

at 1542 nm throughout the French<br />

territory. It provides sustainably and<br />

reliably (uptime > 85%) this infrared<br />

reference to many academic institutions<br />

and other research infrastructures,<br />

state agencies and industrials.<br />

The source of the disseminated signal<br />

is a SYRTE 1542 nm ultrastable laser,<br />

which defines the stability and the<br />

accuracy received by the end users.<br />

Both operational Erbium combs are<br />

phase locked to this laser, which in<br />

turns allows us to lock its frequency<br />

to a hydrogen maser on long (>100 s)<br />

timescales, while benefiting from the<br />

stability of a high finesse Fabry-Perot<br />

cavity on shorter timescales. The active<br />

compensation of the propagation<br />

noise in the network yields a signal at<br />

the disposal of the users featuring a<br />

stability below 2 × 10 -15 at any timescale,<br />

and an accuracy of 1 × 10 -14 on<br />

the fly, that can be pushed down to<br />

< 1 × 10 -15 on demand.<br />

International connections to similar<br />

networks have enabled comparisons<br />

on a continental scale between<br />

SYRTE and PTB (Germany, since<br />

2015), NPL (UK, since 2016), INRIM<br />

(Italy, since 2020) and soon CERN<br />

(Switzerland). All together, this is an<br />

ensemble of ~12 optical clocks that are<br />

interfaced with this European 1542 nm<br />

reference by OFCs. These instruments<br />

are frequently compared one to the<br />

Figure 3. Operational OFC ‘Er2’ at SYRTE. The<br />

comb is equipped with optical setups to form<br />

ultrastable optical beatnotes with various<br />

lasers. At the forefront, an electronic setup is<br />

being set up to generate operational low-noise<br />

microwave to replace the cryogenic sapphire<br />

oscillator in the long run.<br />

others, in order to ascertain the reproducibility<br />

of frequency ratios between<br />

the various contenders to a new definition<br />

of the second. The long term<br />

monitoring of these ratios also contributes<br />

to tests of fundamental Physics,<br />

such as the search for a possible drift<br />

of fundamental constants. Finally,<br />

in the last years, the field of Earth<br />

Sciences has expressed a growing<br />

interest in optical clocks: as their frequency<br />

is sensitive to the local gravitational<br />

potential, this allows them to<br />

contribute to the refined mapping of<br />

the geopotential and to an improved<br />

determination of the geoid (equipotential<br />

approximating the mean sea<br />

level). It is in this spirit that SYRTE<br />

started recently the development of a<br />

transportable ytterbium optical lattice<br />

clock, that will be moved in the future<br />

along the REFIMEVE 1 network and<br />

remotely compared to the stationary<br />

European clocks. This new device will<br />

be equipped with a transportable OFC<br />

in order to measure the frequency of<br />

the clock versus the 1542 nm carrier,<br />

thus opening the possibility to exploit<br />

the ~60 outputs of the network over<br />

the metropolitan territory.<br />

1<br />

Network under supervision of Université Sorbonne<br />

Paris Nord, Observatoire de Paris-PSL and CNRS<br />

TRANSFER OF<br />

SPECTRAL PURITY<br />

Beyond their measurement capacity,<br />

OFCs can also be utilized for novel<br />

applications where the excellent<br />

spectral purity of a state-of-the-art<br />

optical oscillator (cw laser) serves as<br />

a reference to create an ultra-pure<br />

radiation in an entirely different<br />

part of the electromagnetic spectrum,<br />

where high purity sources<br />

are difficult or even impossible<br />

to realize by any other technique.<br />

The idea is simply that when appropriately<br />

phase-locked to a high<br />

spectral purity source (in the optical<br />

or near-infrared domain), each<br />

tooth of the comb reproduces this<br />

spectral purity, and can be used to<br />

generate and/or phase-lock other<br />

sources in different spectral domain.<br />

Provided the phase comparison/<br />

phase-locking processes are set up<br />

with extreme care and expertise to<br />

be sufficiently low noise, the final radiation<br />

will reproduce the spectral<br />

purity of the initial state-of-the-art<br />

reference, but transferred to a different<br />

spectral domain.<br />

At SYRTE, we have first demonstrated<br />

the use of this technique to<br />

transfer the spectral purity from<br />

an ultra-stable laser in the near-infrared<br />

domain (1542 nm) to an other<br />

laser in the same domain but at a<br />

significantly different wavelength<br />

(1062 nm) [3]. We showed how, with<br />

extreme precautions, this could be<br />

realized with a minute added noise<br />

corresponding to a few 10 -18 at a 1s<br />

timescale, well below the residual<br />

frequency fluctuations of any existing<br />

ultra-stable laser. In this case,<br />

the idea is simply to directly phaselock<br />

the 1062 nm laser onto an existing<br />

tooth of the comb close to it in<br />

frequency. Significant care must,<br />

however, be taken to minimize or<br />

cancel the noise resulting from the<br />

propagation of the laser radiations<br />

in fibered or free-space optics where<br />

even minute fluctuations arising<br />

- for example - from temperature<br />

changes or air flow currents may<br />

degrade the final performance.<br />

46 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


OPTICAL FREQUENCY combs<br />

FOCUS<br />

In collaboration with our colleagues<br />

from LPL (Laboratoire de Physique des<br />

Lasers, CNRS/Université Sorbonne Paris<br />

Nord), we have also demonstrated a<br />

transfer of spectral purity from a 1542 nm<br />

wavelength laser to a ~10 µm wavelength<br />

radiation emitted by a Quantum Cascade<br />

Laser (QCL) [4]. In this case, an extra level<br />

of difficulty arose from the physical<br />

separations between SYRTE (hosting the<br />

1542 nm laser) and LPL (where the QCL,<br />

the OFC, the equipment to phase lock<br />

it and characterize its spectral purity,<br />

was residing). This difficulty was solved<br />

by the use of the REFIMEVE network<br />

which connects the two laboratories. In<br />

this case, the 10 µm wavelength spectral<br />

range is not directly accessible by existing<br />

OFCs, and we utilized non-linear optics<br />

(difference frequency generation) to<br />

generate a comparison signal between<br />

the near-infrared OFC and the 10 µm<br />

QCL. This technique demonstrated not<br />

only the most spectrally pure QCL-laser<br />

emission ever produced, but also provided<br />

absolute and SI-traceable referencing<br />

of its frequency.<br />

Last, in collaboration with our industrial<br />

partners from MenloSystems<br />

GmBH and Discovery Semiconductor<br />

Inc., we have demonstrated how realizing<br />

the transfer of spectral purity<br />

from a near-infrared laser (1542 nm)<br />

to the microwave domain (12 GHz) was<br />

able to produce the lowest phase-noise<br />

microwave signal ever demonstrated<br />

by any existing technique [5]. This is of<br />

large interest – in particular – for radar<br />

applications where the quest for lowphase<br />

noise carrier is one of the sources<br />

of resolution improvement. In this case,<br />

the microwave signal is simply produced<br />

by photo-detecting the train of pulses<br />

emitted by the OFC. Mathematically<br />

speaking, if the spectral purity transfer<br />

is perfect, since the emitted microwave<br />

signal is phase-coherent with the comb<br />

and the near-infrared reference laser, its<br />

phase fluctuations are imposed by those<br />

of the reference laser at 1542 nm, but<br />

with a very large division factor (of the<br />

order of 17000... the ratio between the<br />

optical and the microwave frequency).<br />

In order to be as close as possible to this<br />

mathematical ideal, an ultra-low-noise<br />

OFC was developed for this purpose by<br />

MenloSystems, and a very high linearity<br />

photo-diode was developed by Discovery<br />

Semiconductor. This is paramount for<br />

extreme performance, in particular<br />

because amplitude-fluctuations will<br />

generate phase fluctuations in the photo-detection<br />

process (even though we use<br />

special “magic point” conditions in the<br />

vicinity of which this effect is strongly reduced),<br />

and because high optical power<br />

needs to be used for photodetection in<br />

order to minimize the effect of thermal<br />

and quantum noise. We demonstrated<br />

an absolute phase noise of -173 dBc/Hz<br />

at 10 kHz and -106 dBc/Hz at 1 Hz from a<br />

12 GHz carrier.<br />

CONCLUSION<br />

We have presented how optical frequency<br />

combs, both utilized as measurement<br />

tools and as mean for transferring spectral<br />

purity between various spectral domains,<br />

can achieve an extremely high level of metrological<br />

performance and be put to use<br />

in the most demanding high-precision<br />

measurements apparatus. Extreme care<br />

must however be taken in order to achieve<br />

the best result, but as commercially available<br />

systems are constantly improving,<br />

such performances will progressively<br />

become available for non specialists in<br />

turn-key systems.<br />

REFERENCES<br />

[1] T. Fortier and E. Baumann, Commun. Phys. 2, 153 (2019)<br />

[2] H. R. Telle, B. Lipphardt, and J. Stenger, Appl. Phys. B 74, 1–6 (2002)<br />

[3] D. Nicolodi et al., Nat. Photonics 8, 219 (2014)<br />

[4] B. Argence et al., Nat. Photonics 9, 456 (2015)<br />

[5] X. Xie et al., Nat. Photonics 11, 44 (2017)<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 47


FOCUS<br />

OPTICAL FREQUENCY combs<br />

KERR FREQUENCY COMBS:<br />

A MILLION WAYS TO FIT LIGHT<br />

PULSES INTO TINY RINGS<br />

///////////////////////////////////////////////////////////////////////////////////////////////////<br />

Aurélien COILLET 1 *, Shuangyou ZHANG 2 , Pascal DEL’HAYE 2,3<br />

1<br />

Laboratoire Interdisciplinaire Carnot de Bourgogne, 21000, Dijon, France<br />

2<br />

Max Planck Institute for the Science of Light, 91058, Erlangen, Germany<br />

3<br />

Department of Physics, Friedrich Alexander University Erlangen-Nuremberg, 91058, Erlangen, Germany<br />

* aurelien.coillet@u-bourgogne.fr<br />

Frequency combs can be generated<br />

in millimeter-sized optical<br />

resonators thanks to their ability<br />

to store extremely high light intensities<br />

and the nonlinearity of<br />

their materials. New frequencies<br />

are generated through a cascaded<br />

parametric amplification process<br />

which can result in various optical<br />

waveforms, from ultrastable pulse patterns to optical chaos. These Kerr frequency combs<br />

have been studied extensively, with a wealth of fascinating nonlinear dynamics reported, and<br />

myriads of applications being developed, ranging from precision spectroscopy and Lidars<br />

to telecom channel generators.<br />

https://doi.org/10.1051/photon/2021<strong>113</strong>48<br />

Kerr frequency combs<br />

are a novel way to<br />

generate frequency<br />

combs based on<br />

the nonlinear interaction<br />

between<br />

a single wavelength light source<br />

and a dielectric material [1]. Since<br />

such interactions are quite weak,<br />

a resonator which forces light to<br />

recirculate in the material is used,<br />

accumulating sufficient optical<br />

power until new frequencies are<br />

generated through a nonlinear process<br />

called four-wave mixing (FWM,<br />

see insert). Depending on the parameters<br />

of both the resonator and<br />

pump light used, a variety of optical<br />

patterns can be generated and used<br />

for different applications ranging<br />

from time-and-frequency metrology<br />

to building blocks for integrated<br />

photonic circuits. The temporal dynamics<br />

of the combs generation in<br />

microresonators can be described<br />

by the Lugiato-Lefever equation (a<br />

nonlinear Schrödinger equation),<br />

which predicts exceptionally well<br />

the dynamics of these systems.<br />

RECIPE FOR A KERR<br />

FREQUENCY COMB<br />

The first and most important ingredient<br />

for Kerr comb generation is<br />

undoubtedly the resonator itself.<br />

It needs to have a relatively large<br />

48 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


OPTICAL FREQUENCY combs<br />

FOCUS<br />

Depending on its exact frequency compared to the<br />

resonance, the pump laser light will be more or less<br />

enhanced, and all of the newly generated frequencies<br />

will interact differently with the resonances of the<br />

resonator, leading to a wide variety of circulating<br />

soliton pulse patterns.<br />

Kerr nonlinearity, but most importantly,<br />

extremely low losses, so that light<br />

can remain trapped for a long time.<br />

Typically, its quality factor Q — which is<br />

proportional to the lifetime of a photon<br />

in the cavity — has to be larger than 10 6<br />

to cross the threshold for parametric<br />

oscillations at reasonably low optical<br />

power. The next step consists in coupling<br />

as much monochromatic light<br />

as possible into the resonator using<br />

the evanescent field of a microfiber,<br />

cleaved fiber, waveguide or a prism,<br />

and scan the input frequency to excite<br />

one resonance. When the pump<br />

light within the resonator exceeds the<br />

threshold for comb generation, new<br />

frequencies are generated. The generated<br />

comb (corresponding to solitons<br />

in the time domain) is coupled out of<br />

the resonator for further analysis or<br />

for use in applications. Depending<br />

on its exact frequency compared to<br />

the resonance, the pump laser light<br />

will be more or less enhanced, and<br />

all of the newly generated frequencies<br />

will interact differently with the<br />

resonances of the resonator, leading<br />

to a wide variety of circulating soliton<br />

pulse patterns.<br />

Four-wave mixing is one of the effects of the third-order Kerr optical<br />

nonlinearity: assuming two optical waves with different frequencies<br />

ν 1 and ν 2 are co-propagating inside a Kerr material, a modulation occurs which<br />

leads to the creation of two new frequencies ν 3 and ν 4 such that energy is<br />

preserved, that is ν 1 + ν 2 = ν 3 + ν 4 . One can also use one single pump wavelength,<br />

as is the case for Kerr frequency comb generation, and such process is then<br />

called degenerate four-wave mixing. Once new frequencies have been<br />

generated though, a cascading effect can occur and all the spectral lines can<br />

interact through four-wave mixing. Since the Kerr effect is rather low in most<br />

materials, a high power is required for this conversion to be efficient. In the<br />

case of Kerr frequency comb generation, such high power is reached thanks<br />

to the cavity enhancement of the optical field at resonance. Like most Kerr<br />

effects, four-wave mixing is phase-sensitive, hence leading to inherently phaselocked<br />

frequency lines.<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 49


FOCUS<br />

OPTICAL FREQUENCY combs<br />

THE LUGIATO-LEFEVER<br />

EQUATION<br />

The initial observation of various<br />

types of Kerr combs led to the<br />

search for an appropriate theoretical<br />

model that could describe the<br />

experimental observations. One can<br />

understand Kerr comb generation<br />

either by looking at it as a collection<br />

of spectral modes that interact<br />

through four-wave mixing [2], or<br />

rather like the propagation of light<br />

in a closed-loop, with a continuous<br />

pump wave constantly pouring energy<br />

into the system [3]. In both of<br />

these approaches, one finds that the<br />

optical field in the cavity follows the<br />

following normalized equation:<br />

ψ<br />

— τ<br />

= –(1 + iα)ψ + i|ψ| 2 ψ – i β –<br />

2<br />

2 ψ<br />

—<br />

θ<br />

2 + F<br />

The evolution of the field is hence<br />

governed by the interactions<br />

between losses, the frequency<br />

detuning between the pump and<br />

the resonance α, the normalized<br />

nonlinearity, the second order<br />

dispersion of the resonator β and<br />

the pump field amplitude F. With<br />

Figure 1. a) Simplest experimental scheme for Kerr comb generation with an amplified,<br />

single-wavelength laser source coupled to a resonator using a microfiber in this case. The<br />

output signal can directly be monitored through the same coupling microfiber. b) Examples<br />

of different Kerr combs (light and dark blue) generated in the same resonance, at the same<br />

power, but for a slightly different detuning between the cavity resonance and the pump<br />

frequency.<br />

these notations, the field ψ depends<br />

both on the long timescale<br />

time τ and the angle θ which marks<br />

the position within the resonator.<br />

This equation is a modified version<br />

of a nonlinear Schrödinger<br />

equation, with both losses and<br />

driving included, and is known as<br />

the Lugiato-Lefever equation. This<br />

equation was introduced in 1987 by<br />

Luigi Lugiato and René Lefever [4]<br />

in order to model the spontaneous<br />

formation of patterns in 2D resonant<br />

Kerr media, and a large corpus<br />

of theoretical analyses is already<br />

available. In particular, the analysis<br />

of the stability of the flat solution,<br />

that is when no other frequencies<br />

or combs are generated, predicts<br />

in which region of the parameter<br />

space interesting structures can<br />

be formed [5]. For our purpose, a<br />

Figure 2. a) Bifurcation diagram of the 1D Lugiato-Lefever equation in the anomalous<br />

dispersion regime (β < 0) with the regime of Kerr comb one can expect in each region of<br />

the parameter space. The detuning α is the difference between the laser and resonance<br />

frequency normalized by the resonance bandwidth. b) Numerical simulations of the<br />

intracavity intensity for the most notable regimes of Kerr comb. Turing rolls and soliton<br />

are stable structures, while breather and chaotic regimes vary with time. c) Comparison<br />

between experiments and the LLE model for the spectra of the generated Kerr combs, while<br />

varying the detuning along the green line in a).<br />

50 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


OPTICAL FREQUENCY combs<br />

FOCUS<br />

resonator has its dispersion fixed during the manufacturing<br />

process, and the only 2 parameters that<br />

remain accessible to the experimentalist are the detuning<br />

of the laser with respect to the resonance frequency<br />

α and the pump power F 2 . In the anomalous<br />

dispersion regime, a wealth of comb states can be<br />

achieved: Turing rolls appear spontaneously above<br />

a given threshold, and correspond to sine-like oscillation<br />

of the intensity. A soliton is obtained when the<br />

laser frequency is slightly higher than the resonance<br />

frequency (positive detuning), but requires a seed<br />

pulse or significant fluctuations to be generated,<br />

as this part of the parameter space is multi-stable;<br />

multiple excitations can therefore lead to multiple<br />

solitons. Increasing the pump power can lead to instability,<br />

with breathers and chaotic pulsed regimes<br />

taking place. Despite its mathematical simplicity, the<br />

Lugiato-Lefever has been able to model the experimental<br />

results obtained with various resonators with<br />

an impressive precision, as can be seen in figure 2<br />

c). The evolution from a stable comb to chaos is reproduced<br />

with high accuracy over several orders of<br />

magnitude of intracavity power. Such an accuracy<br />

stems from the very simple processes at play, and<br />

particularly the parametric gain: the Kerr effect is<br />

indeed quasi-instantaneous, with a very large spectral<br />

bandwidth, such that its modelling is very easy.<br />

BEYOND THE LUGIATO-LEFEVER EQUATION<br />

Rich cavity soliton states have been predicted by<br />

Lugiato-Lefever equation and experimentally observed<br />

in different dispersion regimes and with different<br />

pumping schemes. As shown in Fig. 3, with a single frequency<br />

pumping and anomalous dispersion, bright soliton<br />

pulses (intensity peaks on a dark background) can<br />

be generated through a well-defined balance between<br />

the Kerr nonlinearity, group velocity dispersion, cavity<br />

loss and gain [6]. Crystallized soliton structures<br />

with crystallographic defects have also been observed<br />

in this regime. These correspond to fixed patterns<br />

of solitons that are stable within the resonator and<br />

repeat after each round-trip. In contrast, the normal<br />

dispersion regime leads to dark pulses (intensity dips<br />

embedded in a high-intensity background) that arise<br />

through the interlocking of switching waves connecting<br />

the homogeneous steady states of the bi-stable<br />

cavity solutions (middle panel in the right of Fig. 3)<br />

[7]. Distinct soliton structures in the zero-dispersion<br />

regime have also been reported with asymmetrical<br />

behaviour both in the frequency domain and time domain.<br />

The zero-dispersion regime is of particular interest<br />

because it allows to investigate how higher-order<br />

dispersion affects the soliton formation dynamics. The<br />

soliton (bright or dark) formation in this regime is associated<br />

with the interlocking of abrupt changes of<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 51


FOCUS<br />

OPTICAL FREQUENCY combs<br />

Figure 3. Different light pulses emitted from the resonators. With single frequency driving<br />

of a resonator (marked with red boxes), bright solitons and soliton crystals can be generated<br />

in anomalous dispersion regime, while dark pulses can be observed by driving at normal<br />

dispersion. Seeding with two colors of lights, dark-bright soliton bound states can be<br />

emitted from a resonator with a mutually trapped dark-bright soliton pair.<br />

power in a resonator, so-called<br />

switching waves. Most importantly,<br />

zero or small dispersion is very desirable<br />

to obtain spectrally broadband<br />

frequency combs. In addition, the<br />

coexistence and mutual locking of<br />

dark and bright pulses in the regime<br />

of normal, zero, and anomalous<br />

dispersion has been predicted by<br />

the Lugiato-Lefever equation when<br />

considering higher-order dispersion<br />

effects. Recent research revealed<br />

bound states of dark-bright solitons<br />

in a resonator through seeding two<br />

modes with opposite dispersion via<br />

two colors of light (lower panel in<br />

the right of Fig. 3) [8]. These mutually<br />

trapped dark-bright pulses lead<br />

to a light state with constant output<br />

power in the time domain but spectrally<br />

resembling frequency combs.<br />

In addition to the generation by a<br />

CW laser source, cavity solitons can<br />

be generated with even higher efficiency<br />

by synchronously pulsed-driving.<br />

The corresponding soliton<br />

dynamics are also well modelled<br />

by the Lugiato-Lefever equation.<br />

An additional way for the generation<br />

of Kerr solitons is the use of<br />

active media as part of an external<br />

cavity, which has been studied with<br />

increasing attention in the last years.<br />

This concept has the advantage of not<br />

requiring a narrowband tuneable laser<br />

source for the soliton generation.<br />

CONCLUSION<br />

Frequency combs generated through<br />

four-wave mixing in high quality<br />

factor resonators constitute a very<br />

promising alternative to modelocked<br />

lasers for many applications<br />

where compacity is required. In the<br />

past 15 years, research on this topic<br />

went from early demonstration of<br />

frequency generation to theoretical<br />

REFERENCES<br />

understanding and prediction, and<br />

to applications, including optical<br />

frequency synthesis, ultrastable<br />

microwave generation, calibration<br />

for astronomy spectroscopy, and<br />

ranging. Most of these applications<br />

make use of a single pulse revolving<br />

inside the cavity – a unique soliton<br />

– yet a myriad of other exotic and<br />

physic-rich regimes can be obtained.<br />

The Lugiato-Lefever equation and its<br />

refinements have been used to accurately<br />

predict the generation of these<br />

original states, such as soliton crystals<br />

and locked switching waves. The<br />

full extent of the possibility offered<br />

by Kerr frequency combs and their<br />

variants – pulse-driven, dual-pump,<br />

with gain medium, … – remains to<br />

be explored, both for fundamental<br />

study in nonlinear dynamics and for<br />

demanding applications.<br />

[1] P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth & T. J. Kippenberg, Nature<br />

450, 1214-1217 (2007)<br />

[2] Y.K. Chembo, & C. R. Menyuk, Phys. Rev. A 87, 053852 (2013)<br />

[3] S. Coen, H. G. Randle, T. Sylvestre, & M. Erkintalo, Opt. Lett. 38, 37-39 (2013)<br />

[4] L.A. Lugiato, & R. Lefever, Phys. Rev. Lett. 58, 2209 (1987)<br />

[5] C. Godey, I. V. Balakireva, A. Coillet, & Y. K. Chembo, Phys. Rev. A 89, 063814 (2014)<br />

[6] T. Herr, V. Brasch, J. D. Jost et al., Nature Photon. 8, 145–152 (2014)<br />

[7] X. Xue, Y. Xuan, Y. Liu et al., Nature Photon. 9, 594–600 (2015)<br />

[8] S. Zhang, T. Bi, G. N. Ghalanos, N. P. Moroney, L. Del Bino, & P. Del’Haye, Phys. Rev. Lett.<br />

128, 033901 (2022)<br />

52 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


BACK TO BASICS<br />

optical helicity<br />

THE OPTICAL HELICITY<br />

IN A MORE ALGEBRAIC APPROACH<br />

TO ELECTROMAGNETISM<br />

///////////////////////////////////////////////////////////////////////////////////////////////////<br />

Ivan FERNANDEZ-CORBATON*<br />

Institute of Nanotechnology, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany<br />

*ivan.fernandez-corbaton@kit.edu<br />

https://doi.org/10.1051/photon/2021<strong>113</strong>54<br />

The constant miniaturization trend in<br />

nanophotonics challenges some of the<br />

theoretical tools at our disposal: Analytical<br />

shortcuts such as the dipolar and paraxial<br />

approximation become unapplicable, and<br />

the computational cost of fully numerical<br />

studies often renders them impractical.<br />

A basic electromagnetic property, the optical<br />

helicity, and the use of more abstract tools<br />

inspired by it, are rising to meet the challenge.<br />

The optical helicity, also known as electromagnetic<br />

helicity, represents the handedness of Maxwell<br />

fields, and is the conserved quantity connected<br />

to the electromagnetic duality symmetry. This<br />

connection allows to consider the polarization of<br />

the field within the powerful framework of symmetries<br />

and conservation laws. Such framework is formalized<br />

in electromagnetic Hilbert spaces thanks to the existence of an<br />

appropriate scalar product for Maxwell fields [1]. While these<br />

ideas may seem of purely theoretical interest, the abstraction<br />

and generality that they afford facilitate both the understanding<br />

and the design of specific light-matter interaction effects.<br />

The algebraic treatment of helicity and its eigenstates [2] is<br />

also a valuable tool for extending the theory, as exemplified<br />

by the recently established new connection between optics<br />

and magnetism [3].<br />

FUNDAMENTALS AND APPLICATIONS<br />

Helicity is the projection of the angular momentum vector J<br />

onto the direction of the linear momentum vector P,<br />

Λ = — J • P . (1)<br />

|P|<br />

Equation 1 is the most general form of the helicity operator,<br />

which is valid for many particles and fields, such as electrons<br />

and gravitational waves. For Maxwell fields, helicity<br />

describes the sense of screw in light: The circular polarization<br />

handedness.<br />

Helicity is a pseudoscalar: Its sign flips under any spatial<br />

inversion operation such as parity or mirror reflections.<br />

Figure 1 illustrates some transformation properties<br />

of helicity comparing them with the transformation<br />

properties of angular momentum. Helicity and angular<br />

momentum are two different properties of the field. A<br />

very basic difference is that, while a two dimensional<br />

plane is enough to define a rotation (angular momentum),<br />

three spatial dimensions are required to define a<br />

sense of screw (helicity). The systematic consideration<br />

of how helicity and angular momentum transform allows<br />

the identification of the symmetry reasons for particular<br />

light-matter interaction effects, which can then be used<br />

for the analysis and prediction of experimental measurements.<br />

For example, the optical vortices seen in focusing<br />

by or scattering off cylindrically symmetric systems are<br />

readily shown to be due to the breaking of a different<br />

54 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


optical helicity<br />

BACK TO BASICS<br />

In its most general illuminationindependent<br />

embodiment, helicity<br />

preservation is achieved by objects<br />

exhibiting electromagnetic duality<br />

symmetry, a fundamental continuous<br />

symmetry in electromagnetism.<br />

symmetry in each case (see Chap. 3 [4]): Translational<br />

symmetry in focusing, and electromagnetic duality symmetry<br />

(see below) in scattering. For the directional coupling<br />

of emitters onto waveguides, it is readily shown<br />

that the polarization handedness of the emission cannot<br />

be responsible for the directionality, which is controlled<br />

by angular momentum [5], see Fig. 3.<br />

For transverse Maxwell fields, helicity has two possible eigenvalues,<br />

λ = +1 and λ = -1, whose corresponding eigenstates for<br />

(r,t) -dependent Maxwell fields are (SI units assumed):<br />

F λ (r,t) = √<br />

– 0<br />

—2 [E(r,t) + iλc 0 B(r,t)], ΛF λ (r,t) = λF λ (r,t). (2)<br />

The F λ (r,t) can be built as the following sum of plane waves:<br />

dk<br />

F λ (r,t) = ∫ <br />

3 - {0}<br />

√ — F λ (k) exp(ik • r - ic 0 |k|t), (3)<br />

(2π) 3<br />

where k • F λ (k) = 0, i ^k × F λ (k) = λF λ (k) since Λ i ^k× in this<br />

representation and, importantly, the frequency is restricted<br />

to positive values ω = c 0 |k| > 0. The F λ (r, t) are the positive frequency<br />

restriction of the Riemann-Silberstein vectors<br />

Figure 1. Transformations of helicity, represented by the<br />

helices, and of angular momentum, represented by the 2D<br />

turns. The initial objects in a) are transformed by a rotation<br />

by 180 degrees along the y axis in b), by the parity operation<br />

in c), by a mirror reflection across the YZ plane in d), and by<br />

a mirror reflection across the XY plane in e). Spatial inversion<br />

transformations always flip the screw sense of the helix, while<br />

rotations never do. The chosen angular momentum changes<br />

sign (the sense of the turn is inverted) upon the rotation in b)<br />

and the reflection in e), and stays invariant upon parity and the<br />

reflection in d).<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 55


BACK TO BASICS<br />

optical helicity<br />

Figure 2. F± split a general<br />

electromagnetic field such<br />

as the arbitrary multifrequency<br />

combination<br />

of circularly polarized<br />

plane waves in a) into its<br />

two helicity components,<br />

left-handed (blue) in b), and<br />

right-handed (red) in c).<br />

[2], and its monochromatic components are also known as<br />

Beltrami fields [6]. As illustrated in Fig. 2, the F λ (r, t) split<br />

the electromagnetic field into its left and right circular polarization<br />

handedness, for λ = +1 and λ = -1, respectively. The<br />

restriction to positive frequencies makes E(r, t) and B(r, t)<br />

necessarily complex valued, and is crucial for achieving the<br />

handedness splitting: If E(r t)and B(r, t) are real-valued, then<br />

|F + (r, t)| = |F–(r, t)|follows from Eq. 2, negating the handedness<br />

separation.<br />

The splitting allows to analyze the handedness of near<br />

fields around illuminated nanostructures, such as the silicon<br />

disk in Fig.4, which is illuminated on axis by a single plane<br />

wave of positive helicity. Figures 4a) and 4b) correspond to<br />

illumination with two different frequencies. Each sub-figure<br />

is divided into two areas where the false color scale shows<br />

point-wise intensities: |F + (r,|k|)| 2 on the left, and |F–(r,|k|)| 2<br />

on the right. The monochromatic F λ (r,|k|) are obtained as<br />

in Eq. 2, but using single frequency complex electric and<br />

magnetic fields. To a good approximation, and in contrast<br />

with what Fig. 4b) shows, Fig. 4a) shows that the disk does<br />

not couple the two helicities upon light-matter interaction:<br />

It preserves the incident helicity. In its most general illumination-independent<br />

embodiment, helicity preservation<br />

is achieved by objects exhibiting electromagnetic duality<br />

symmetry, a fundamental continuous symmetry in electromagnetism,<br />

whose action is:<br />

E(r,t) → E θ (r,t) = E(r,t)cosθ - c 0 B(r,t)sinθ,<br />

c 0 B(r,t) → c 0 B θ (r,t) = E(r,t)sinθ + c 0 B(r,t)cosθ,<br />

for a real angle θ, and its action on the helical fields<br />

(4)<br />

F λ (r,t) → F θ λ (r,t) = F λ(r,t) exp(–λiθ) (5)<br />

reveals that, in the same way that rotations are generated by<br />

angular momentum operators, e.g. R z (θ) = exp(–iθJ z ), duality<br />

is generated by the helicity operator D θ = exp(–iθΛ). The polarization<br />

of the field can then be treated within the powerful<br />

framework of symmetries and conservation laws. Such<br />

Figure 3. Emitters (circles) on top of waveguides (gray boxes) emit light with a definite angular momentum along the z-axis<br />

(yellow-brown arrows), and a definite helicity (blue/red circles), which couples asymmetrically to the waveguide modes, with more<br />

power going towards the +x direction than to the -x direction, or vice versa (purple arrows). The initial situations [panels a) and e)]<br />

are transformed by mirror reflections which are symmetries of the waveguide and leave the position of the emitter unchanged:<br />

Mx [panels b) and f)], Mz [panels c) and g)], and the composition MxMz [panels d) and h)], respectively, where α indicates a<br />

reflection across the plane perpendicular to the α direction. In each panel, the origin of coordinates is at the position of the emitter,<br />

and the coordinate axes are oriented as shown in the central part of the figure. The transformation properties of helicity allow us<br />

to conclude that it cannot be responsible for the directional coupling: For example, e) and h) show the same helicity producing<br />

the opposite directionality. Such contradictions do not arise for angular momentum, which is indeed the property of light which<br />

controls directionality [5].<br />

56 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


optical helicity<br />

BACK TO BASICS<br />

framework facilitates the identification of design guidelines<br />

for achieving specific effects, such as zero back-scattering<br />

(anti-reflection) (see Chap. 4 in [4]), and enhanced near-field<br />

interaction with chiral molecules (see Chap.5.3 in [4], [7]).<br />

Helicity preservation is one of the guidelines in these two<br />

particular cases. Unfortunately, dual-symmetric systems are<br />

hard to fabricate. The theoretically most straightforward<br />

way to design a dual system is by using materials with equal<br />

relative electric permittivity and magnetic permeability: a<br />

very demanding requirement. Fortunately, the essential<br />

idea in duality symmetry, balanced electric and magnetic<br />

responses, allows to design non-magnetic systems that preserve<br />

helicity, at least for particular frequencies and illumination<br />

directions. For example, the aspect ratio of the silicon<br />

disk in Fig. 4 was optimized [7] for hosting equal electric<br />

and magnetic dipole moments upon on-axis illumination<br />

at f = 125 THz.<br />

A SCALAR PRODUCT PROVIDES MORE TOOLS<br />

The appropriate scalar product for Maxwell fields is [1]:<br />

F|G<br />

dk<br />

= ∫ <br />

3 —<br />

- {0}<br />

ħc 0 |k| [F + (k)† G + (k) + F–(k) † G–(k)] (6)<br />

where |F and |G are two different sets of Maxwell fields, specified<br />

by their corresponding F λ (k), and G λ (k). Equation 6 is<br />

conformally invariant: Its numerical value is identical to the<br />

scalar product between X|F and X|G, for any transformation<br />

X in the conformal group, the 15 parameter group which is the<br />

largest group of invariance of Maxwell equations [8].<br />

Equation 6 is defined for free Maxwell fields which do not<br />

interact with matter. Nevertheless, in a light-matter interaction<br />

sequence such as the one depicted in Fig.5a), Eq. 6 can be applied<br />

to the pre- and post-interaction fields, only excluding the<br />

grayed out period where the interaction is ongoing.<br />

The scalar product for Maxwell fields allows to use the tools<br />

of Hilbert spaces in electromagnetism, and to leverage<br />

Figure 4. Helical decomposition of the scattered field around<br />

a silicon disk illuminated on axis with two different frequencies<br />

(adapted from [7]).<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 57


BACK TO BASICS<br />

optical helicity<br />

it produces is longitudinal (parallel to k), and is hence annihilated<br />

by the action of the helicity operator Λ i^k×. Importantly,<br />

Λ ω=0 can be readily shown to be 1/2√ — 0 /µ 0 times the magnetic<br />

helicity. The electromagnetic helicity of the dynamic Maxwell<br />

fields and the static magnetic helicity [9] are unified as two different<br />

embodiments of the same physical quantity, establishing<br />

the theoretical basis for studying the conversion between the<br />

two embodiments of total helicity upon light-matter interaction<br />

[3], as illustrated in Fig.5.<br />

Figure 5. Helicity exchange between electromagnetic fields<br />

and material magnetization. In a) a beam of positive helicity<br />

interacts with a magnetization of the opposite helicity and flips<br />

its handedness. In b), an initially chiral magnetization is turned<br />

into an achiral one by achiral and non-necessarily optical<br />

forces. In this process, the material radiates an electromagnetic<br />

field which contains (part of) the helicity lost by the material.<br />

some of the methods from quantum mechanics. Given an electromagnetic<br />

field |F, the average of its linear momenta, angular<br />

momenta, energy, and any other quantity represented by<br />

a hermitian operator Γ is F|Γ|F, which can be readily written<br />

down as a k-space integral [2] using Eq.6.<br />

Recently, the k-space integral expression of the average<br />

electromagnetic helicity, F|Λ|F, has lead to the definition<br />

of material helicity [3]. Matter in static equilibrium is electromagnetically<br />

represented by its electric charge density<br />

ρ(r), and its magnetization density M(r), which are bijectively<br />

connected to the static fields that they generate at ω = 0. It is<br />

then possible to define the total helicity, Λ, as the sum of<br />

two terms: The electromagnetic helicity, F|Λ|F = Λ ω>0 that<br />

measures the difference between the number of left-handed<br />

and right-handed photons of the free field, and a static term,<br />

Λ ω=0 , that measures the screwiness of the static magnetization<br />

density in matter:<br />

Λ = Λ ω>0 + Λ ω=0 , where<br />

Λ ω>0 dk<br />

= ∫ <br />

3 —<br />

- {0}<br />

ħc 0 |k| |F + (c 0|k|, k)| 2 – |F–(c 0 |k|, k)| 2 ,<br />

Λ ω=0 dk |M<br />

= ∫ <br />

3 — + (0, k)| 2 – |M–(0, k)|<br />

——<br />

2<br />

- {0}<br />

ħc 0 |k|<br />

2/µ0<br />

The F ± (c 0 |k|, k) are the F λ (k) of Eq.3, and M λ (0, k)<br />

are the λ = ±1 helicity components of the 3D Fourier<br />

transform M(0, k) of the static magnetization density<br />

M(r): 2M λ (0, k) = (I + λ i^k ×) (i^k ×) 2 M(0, k). The charge density ρ(r)<br />

does not host any material helicity because the electric field that<br />

(6)<br />

OUTLOOK<br />

The design of helicity preserving systems is an area of research<br />

with technological implications. While approximations such<br />

as the geometric optimization illustrated in Fig.4 can already<br />

be of some use, recent advances in molecular science prompt<br />

the question of whether a truly dual symmetric material, albeit<br />

likely with a narrow operational frequency band, can be<br />

achieved through molecular design.<br />

Finally, the transfer of helicity from the field into a magnetic<br />

material is a mechanism for affecting the chirality of matter<br />

in static equilibrium, that is, in its ground state. This points<br />

to possible applications in magnetization control by optical<br />

means. The potential role of the effect in the all-optical helicity-dependent<br />

magnetization switching [10] is an exciting<br />

research question.<br />

ACKNOWLEDGMENTS<br />

Partially funded by the Deutsche Forschungsgemeinschaft<br />

(DFG, German Research Foundation) --Project-ID 258734477<br />

-- SFB 1173.<br />

REFERENCES<br />

[1] L. Gross, J. Math. Phys. 5, 687 (1964).<br />

[2] I. Bialynicki-Birula, Prog. Optics 36, 245 (1996).<br />

[3] I. Fernandez-Corbaton, Phys. Rev. B 103, 054406 (2021).<br />

[4] I. Fernandez-Corbaton, Helicity and duality symmetry<br />

in light matter interactions: Theory and applications, Ph.D.<br />

thesis, Macquarie University (2014), arXiv: 1407.4432.<br />

[5] A. G. Lamprianidis, X. Zambrana-Puyalto, C. Rockstuhl,<br />

and I. Fernandez-Corbaton, Laser & PhotonicsReviews 16,<br />

2000516 (2022).<br />

[6] Lakhtakia A., Beltrami fields in chiral media (World<br />

Scientific, 1994).<br />

[7] F. Graf, J. Feis, X. Garcia-Santiago, M. Wegener,C. Rockstuhl,<br />

and I. Fernandez-Corbaton, ACS Photonics 6, 482 (2019).<br />

[8] H. Bateman, Proceedings of the London Mathematical<br />

Society s2-7, 70 (1909).<br />

[9] M. A. Berger, Plasma Physics and Controlled Fusion 41,<br />

B167 (1999).<br />

[10] C. D. Stanciu, F. Hansteen, A. V. Kimel, A. Kirilyuk,<br />

A. Tsukamoto, A. Itoh, and T. Rasing, Phys. Rev. Lett. 99,<br />

047601 (2007).<br />

58 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


optical helicity<br />

BACK TO BASICS<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 59


BUYER'S GUIDE<br />

nanopositioner solution<br />

HOW TO SELECT<br />

A NANOPOSITIONER<br />

SOLUTION?<br />

///////////////////////////////////////////////////////////////////////////////////////////////////<br />

Emmanuel Pascal 1, *, Scott Jordan 2<br />

1<br />

PI FRANCE, 380 avenue Archimède, bât D, 13100 Aix en Provence, France<br />

2<br />

PI USA, Head Office, 16 Albert Street, Auburn, MA 01501, USA<br />

*e.pascal@pi.ws<br />

https://doi.org/10.1051/photon/2022<strong>113</strong>60<br />

Many recent innovations have been enabled by high<br />

precision positioning devices operating at a nanometer<br />

level or below. Developments in this field have been<br />

very fast over the last years supported by applications<br />

in material sciences, genomics, photonics, defense,<br />

biophysics, and semiconductors creating challenges<br />

for the scientists and engineers in need of precise and<br />

yet robust positioning systems. The critical point is:<br />

how should you select your nano positioning solution?<br />

NANOPOSITIONING SYSTEM:<br />

A NEW DEFINITION?<br />

By its original definition, a nanopositioning<br />

device is a mechanism<br />

capable of repeatedly delivering<br />

motion in increments as small as one<br />

nanometer. Lately, demands from<br />

industry and research have pushed<br />

requirements to the picometer range.<br />

While electroceramics such as piezo<br />

materials with flexure guides remain<br />

the gold standard for breaking the<br />

resolution nanometer barrier, there<br />

are several other solutions available<br />

today providing repeatable single-digit<br />

nanometer step resolution including<br />

linear motors, voice-coil drives,<br />

and frictionless guides such as air<br />

bearings and magnetic bearings.<br />

Emmanuel Pascal: Country Director,<br />

PI France<br />

Scott Jordan: Head of Photonics Market<br />

Segment, PI Group<br />

Dynamic issues dominate many applications<br />

and can be addressed by<br />

novel approaches that benefit realtime/high-dynamic<br />

applications.<br />

They present new opportunities for<br />

optimizing process economics.<br />

Rapid testing and packaging of<br />

the latest silicon photonics (SiPh)<br />

devices — starting at the wafer level<br />

— is the perfect example. In these<br />

applications, optical elements and<br />

probes must be brought into perfect<br />

coupling with devices in various<br />

stages of manufacture from wafer to<br />

final package. With thousands of optical<br />

elements on a single wafer, coupling<br />

time becomes the most critical<br />

cost factor in testing. The same applies<br />

to all further process steps up<br />

to assembly and packaging, where<br />

active and passive optical elements<br />

(e.g., LEDs, laser diodes, photodiodes<br />

and optical fibers and waveguides)<br />

must be precisely positioned<br />

Figure 1. A doublesided<br />

test and<br />

alignment system<br />

for silicon photonics<br />

wafers based on<br />

hexapods and piezo<br />

nanopositioning stages<br />

to combine the fastest<br />

alignment speeds with<br />

the highest flexibility.<br />

60 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


nanopositioner solution BUYER'S GUIDE<br />

Figure 2.<br />

A motion<br />

amplified,<br />

flexure-guided<br />

actuator based<br />

on a multilayer<br />

piezo stack.<br />

Piezo flexure<br />

drives can<br />

last 100<br />

billion cycles!<br />

relative to each other, typically with accuracies<br />

in the sub micrometer range.<br />

Here, too, the time required for coupling<br />

optimization is decisive for cost-effectiveness.<br />

What makes these applications<br />

even more challenging is the frequent<br />

requirement to optimize positioning in<br />

up to all six degrees of freedom. This requires<br />

intelligent, precisely coordinated<br />

motion control in order not to destroy<br />

the result once achieved in one axis by<br />

movements in another axis. Complex<br />

algorithms that enable parallel, i.e., simultaneous,<br />

optimization in multiple<br />

degrees of freedom are the solution<br />

here. This creates a new paradigm for<br />

the definition of a nanopositioning system.<br />

We are not talking anymore about<br />

a single piezo flexure stage but sophisticated<br />

and yet robust systems, built application<br />

specific, that can work from<br />

lab to fab environment.<br />

NANO POSITIONING:<br />

NO FRICTION PLEASE<br />

As a rule of thumb, the lower the mechanical<br />

friction in a motion system, the<br />

higher the positioning performance.<br />

Three frictionless guiding technologies<br />

are often used in nanopositioning applications:<br />

flexures, air bearings, and<br />

magnetic bearings.<br />

Flexures guides are highly stable and<br />

stiff, but with travels limited to the millimeter<br />

region. For motion ranges from<br />

a few to hundreds of millimeters, air<br />

bearings offer a solution. An air-bearing<br />

stage is a linear or rotary positioner<br />

constrained on a cushion of air, using<br />

preload mechanisms, virtually eliminating<br />

mechanical contact and thus wear,<br />

friction, bearing noise, and hysteresis<br />

effects. Air-bearing nano-positioning<br />

stages are used in numerous high precision<br />

motion applications, such<br />

PIEZO ACTUATORS ON MARS!<br />

All-ceramic-encapsulated, cofired<br />

piezo actuators were introduced many<br />

years ago pushing performance and<br />

reliability to new limits to respond to the<br />

industrial requirements.<br />

These actuators improve greatly the<br />

reliability of devices based on this<br />

technology, especially when used in challenging environments.<br />

In fact, NASA/JPL engineers ran these actuators through harsh life tests<br />

including 100 billion expansion/contraction cycles before selecting them<br />

for the Mars Rover’s science lab!<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 61


BUYER'S GUIDE<br />

nanopositioner solution<br />

as metrology, flat panel display inspection,<br />

large-area photonics test etc.<br />

The non-contact design also makes<br />

these stages work well in cleanroom<br />

applications.<br />

SHORT TRAVEL PIEZO<br />

POSITIONERS<br />

When talking about nanopositioning<br />

actuators with precision in the<br />

nm range and travel ranges of up<br />

to a few millimeters, piezo actuators<br />

combined with flexure designs<br />

are the historical solution. Flexure<br />

guides are frictionless and can be<br />

extremely small and robust at relatively<br />

low cost.<br />

Piezoelectric technologies play<br />

a foundational role in positioning<br />

applications with nanometer resolution<br />

requirements. The benefits of<br />

piezo-based devices include:<br />

• Unlimited resolution: positioning<br />

increments well below 1nm are<br />

possible and fit applications ranging<br />

from semiconductor to super<br />

resolution microscopy<br />

• Fast response (microsecond time<br />

constants)<br />

• Maintenance-free, solid-state<br />

construction that reduces wear<br />

and tear<br />

• High efficiency: energy is absorbed<br />

only to perform movement<br />

• Inherent vacuum-compatibility<br />

• Non-magnetic and magnetic-insensitive<br />

construction<br />

• High throughput and dynamic<br />

accuracy<br />

Figure 3. Example of Voice Coil Miniature Linear<br />

Stage with Air Bearings.<br />

LONG-TRAVEL<br />

PIEZO TECHNOLOGIES<br />

By combining lateral actuation<br />

and longitudinal actuation of piezo<br />

actuators, it is possible to create<br />

the basic element of a piezo walking<br />

drive. A digital controller sequences<br />

their operation, providing<br />

high-force, long travel step-mode<br />

actuation plus picometer resolution<br />

fine high-bandwidth actuation.<br />

Forces can be generated to<br />

800N and resolution down to<br />

50pm are achievable. This unique<br />

combination of class-leading characteristics<br />

is proving to be an enabling<br />

technology for a wide variety<br />

of applications.<br />

Figure 4. High-load walking drives combine<br />

piezo clamping and shear actuators in order<br />

to move a rod.<br />

Another use of piezo ceramics<br />

technology is in ultrasonic piezo<br />

motors. These are composed of monolithic<br />

slabs of piezo ceramics; standing<br />

waves are driven in the substrate<br />

at frequencies of tens to hundreds of<br />

kilohertz. A hardened contact-point<br />

attached at a resonant node-point is<br />

thereby made to oscillate in a quasi-elliptical<br />

fashion; when preloaded<br />

against a runner, this confers linear<br />

or rotary motion. These piezo motors<br />

achieve up to 500mm/sec or 720<br />

degrees/sec over virtually unlimited<br />

travel ranges while providing high<br />

precision and fast start/stop dynamics.<br />

A key benefit of this class of<br />

motor is the in-position stability.<br />

CLOSED LOOP OPERATION:<br />

SELECTING THE RIGHT SENSOR/<br />

CONTROLLER SOLUTION<br />

Achieving nanometer precision<br />

requires further technologies. The<br />

stage’s internal metrology system<br />

must also be capable of measuring<br />

motion at the nanometer scale. The<br />

characteristics to consider when selecting<br />

a stage metrology system are<br />

linearity, resolution, stability and<br />

bandwidth. Other factors include the<br />

ability to measure the moving platform<br />

directly and contact vs. noncontact<br />

measurements. Three types of<br />

sensors are mostly used in nanopositioning<br />

applications: linear encoders<br />

(for longer travels), and capacitive<br />

and strain sensors (for short travels).<br />

Linear encoders are familiar devices<br />

for measuring long displacements<br />

up to hundreds of millimeters.<br />

While resolution in the nanometer<br />

range is common, accuracy is typically<br />

limited to 1 µm per 100 mm.<br />

However, this can be improved significantly<br />

with modern controllers.<br />

Incremental encoders measure<br />

changes in position and must be initially<br />

referenced to a home switch on<br />

power up; absolute encoders do not<br />

require this step but tend to be costlier.<br />

For short travel nanopositioning<br />

devices, cost-effective strain gauges<br />

(incl. piezoresistive sensors) use elements<br />

whose electrical characteristics<br />

62 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


nanopositioner solution BUYER'S GUIDE<br />

While resolution in the nanometer range is common,<br />

accuracy is typically limited to 1 µm per 100 mm. However,<br />

this can be improved significantly with modern controllers.<br />

change with strain. These devices are<br />

usually attached to the piezo ceramics<br />

itself or to a structural element of the<br />

stage. Special care must be taken when designing<br />

them into a mechanism. If there<br />

are elastic or frictional elements in the<br />

path between the point of motion and the<br />

point of measurement, errors will result.<br />

Physically small sensors (such as piezoresistive<br />

sensors) measure a highly spatially<br />

localized strain, from which the overall<br />

mechanism position can be inferred.<br />

And these sensors cannot be configured<br />

to compensate for orthogonal (parasitic)<br />

errors in multi-axis configurations — only<br />

parallel metrology of the actual moving<br />

platform can provide this valuable capability.<br />

Capacitive sensors have emerged<br />

as the preferred solution for the most demanding<br />

nanopositioning applications<br />

requiring short travel ranges. They are absolute,<br />

extremely accurate and ultrahighresolution<br />

devices for determining absolute<br />

position over ranges of hundreds of<br />

microns or even millimeters. The device’s<br />

positioning motions vary the distance<br />

between two nano-machined capacitor<br />

plates, providing a sensitive and drift-free<br />

positional feedback signal.<br />

ACTIVE OPTIC MOUNTS:<br />

TRAVELLING IN SPACE<br />

Beyond linear single or multi-axes configurations,<br />

piezoelectric devices are very suitable<br />

to create tip/tilt platforms. With the<br />

integration of actuators with resolutions<br />

well below 1nm, these systems routinely<br />

offer angular resolutions surpassing 1/100<br />

arcsec. Compact piezo- and voice-coil-actuated<br />

active optic mounts are available<br />

with multiple degrees of optical deflection.<br />

Two-axis, parallel-kinematic piezo<br />

mounts offer advantageous gimbal-style<br />

actuation with coplanar rotational axes.<br />

Compared to galvos and voice-coil systems,<br />

piezo-driven active optic mounts are<br />

typically more compact, fieldless, faster,<br />

inherently stiffer, and more predictable<br />

when power is cut. They are of great interest<br />

in the innovative field of Free Space<br />

Optical Communications (FSOC), where<br />

thousands of satellites form a high-speed,<br />

low-latency global information network.<br />

For these applications, robustness, long<br />

life and environmental insensitivity<br />

are prized.<br />

INTERFACING<br />

A wide variety of interfaces is available<br />

today, RS-232 to Ethernet, SPI, and USB,<br />

plus a host of specialty interfaces are<br />

among them. The choice depends on<br />

your environment, and all have pros<br />

and cons. Since motion controllers communicate<br />

via short messages, latency is<br />

often much more important to overall<br />

throughput than bulk transfer speed.<br />

USB and Ethernet are very common,<br />

with the latter supporting remote and<br />

distributed communications at the cost<br />

of variable latencies when the common<br />

TCP/IP communications protocol<br />

Figure 5.<br />

Example<br />

of Voice Coil<br />

Miniature Linear<br />

Stage with<br />

Air Bearings.<br />

<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 63


BUYER'S GUIDE<br />

nanopositioner solution<br />

rapid optical alignments. Advanced<br />

controllers for sophisticated automation<br />

tasks in industrial environments<br />

are now available on the market with<br />

nanoscale capabilities. They can drive<br />

linear or brushless motors, are based<br />

on a real time architecture and serve<br />

applications such as laser material<br />

processing, photolithography, fine<br />

inspection or any application where<br />

tight synchronization is required.<br />

They can generate controlled trajectories—for<br />

example from a 3D CAD<br />

file—and offer advanced correction<br />

capabilities to achieve the best results.<br />

is used. By comparison, EtherCAT is<br />

a deterministic, open protocol that<br />

leverages the ubiquity and speed of<br />

Ethernet hardware, allowing flexible<br />

construction of sophisticated and<br />

scalable systems. Although analog<br />

interfacing may sound obsolete, it has<br />

essentially zero latency and infinite<br />

speed and is easily coordinated with<br />

data acquisition, triggering and other<br />

real-time processes. Good implementations<br />

of a digital interface with a<br />

precision DAC generally add internal<br />

waveform generation and synchronization<br />

capabilities; the highest-performance<br />

implementations are of course<br />

fully fledged DSP architectures which<br />

eliminate the analog servo-circuitry<br />

entirely. A particularly common application<br />

of nanopositioners to photonics<br />

is in automated alignment.<br />

Recent advanced controllers for<br />

piezo nanopositioners, hexapods<br />

and stage stacks embed automated<br />

alignment routines including parallel<br />

gradient search methods for the most<br />

Figure 6. A tip/tilt beam steering platform,<br />

used in the Solar Orbiter space probe. In<br />

principle various sizes of mirror can be installed<br />

and optical deflections to several degrees<br />

are achievable.<br />

VENDORS IN EUROPE<br />

Aerotech<br />

Attocube<br />

Cedrat Technologies<br />

Leuwen Air Bearings (LAV)<br />

Mad City Lab (MCL)<br />

MKS Newport<br />

nPoint<br />

Physik Instrumente (PI)<br />

Piezo Motor<br />

Piezo System Jena<br />

Piezoconcept<br />

Pro-lite<br />

Smaract<br />

Tekceleo<br />

Thorlabs<br />

CONCLUSION<br />

It is nowadays possible to build<br />

advanced instrumentation with<br />

nanoscale performances with various<br />

technologies. Beyond the fundamentals<br />

of product capability,<br />

quality, global support, and applications<br />

savvy, choosing a vendor represents<br />

a choice of partners. There are<br />

tangible benefits of working with a<br />

supplier whose experience crosses<br />

many fields and many drive technologies.<br />

Such a supplier is able to share<br />

best-practices from other arenas. This<br />

multicompetences ability can help<br />

you drive innovation in your application,<br />

delivering a competitive advantage<br />

through a holistic approach.<br />

WEBSITE<br />

https://www.aerotech.com/<br />

https://www.attocube.com/en<br />

https://www.cedrat-technologies.com/en/<br />

https://www.labmotionsystems.com/<br />

http://www.madcitylabs.eu/<br />

https://www.mksinst.com/b/newport<br />

https://npoint.com/<br />

https://www.physikinstrumente.com/en/<br />

https://piezomotor.com/<br />

https://www.piezosystem.com/<br />

https://piezoconcept-store.squarespace.com/<br />

https://www.pro-lite.fr/<br />

https://www.smaract.com/index-en<br />

https://www.tekceleo.fr/<br />

https://www.thorlabs.com/<br />

64 www.photoniques.com I <strong>Photoniques</strong> <strong>113</strong>


NEW PRODUCTS<br />

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<strong>Photoniques</strong> <strong>113</strong> I www.photoniques.com 65

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